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- La ecuación:
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Ecuación x+9=0
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Ecuación 3,4+2y=7(y-2,3)
- Ecuación z^3=1+i
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Ecuación x/(x-2)-7/(x+2)=8/(x^2-4)
- Expresar {x} en función de y en la ecuación:
- -16*x+3*y=17
- 18*x-14*y=-2
- 18*x+19*y=10
- 11*x-6*y=5
- Gráfico de la función y =:
- x^2-6*x-3
- Factorizar el polinomio:
- x^2-6*x-3
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Expresiones idénticas
- √(x^ dos - seis + nueve)=x^ dos - seis *x- tres
- √(x al cuadrado menos 6 más 9) es igual a x al cuadrado menos 6 multiplicar por x menos 3
- √(x en el grado dos menos seis más nueve) es igual a x en el grado dos menos seis multiplicar por x menos tres
- √(x2-6+9)=x2-6*x-3
- √x2-6+9=x2-6*x-3
- √(x²-6+9)=x²-6*x-3
- √(x en el grado 2-6+9)=x en el grado 2-6*x-3
- √(x^2-6+9)=x^2-6x-3
- √(x2-6+9)=x2-6x-3
- √x2-6+9=x2-6x-3
- √x^2-6+9=x^2-6x-3
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Expresiones semejantes
- √(x^2-6-9)=x^2-6*x-3
- √(x^2+6+9)=x^2-6*x-3
- √(x^2-6+9)=x^2+6*x-3
- √(x^2-6+9)=x^2-6*x+3
√(x^2-6+9)=x^2-6*x-3 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
____________ / 2 2 \/ x - 6 + 9 = x - 6*x - 3
$$\sqrt{\left(x^{2} - 6\right) + 9} = \left(x^{2} - 6 x\right) - 3$$
Respuesta rápida
[src]
____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ________
/ 100 12 / 103661 I*\/ 103742 2209
/ --- - --------------------------------------------------------------------------------- - 2*3 / ------ + ------------ - -------------------------------
_______________________________________________________________________ / 3 _______________________________________________________________________ \/ 216 12 _______________________
/ _______________________ / / _______________________ / ________
/ / ________ / / / ________ / 103661 I*\/ 103742
/ 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------
/ -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12
/ 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________
/ / ________ / / / ________
/ / 103661 I*\/ 103742 / / / 103661 I*\/ 103742
/ 18*3 / ------ + ------------ / / 18*3 / ------ + ------------
\/ \/ 216 12 \/ \/ \/ 216 12
x1 = 3 - --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = 3 - \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2} - \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} - \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2}$$
____________________________________________________________________________________________________________________________________________________________
/ _______________________
/ / ________
/ 100 / 103661 I*\/ 103742 12 2209
/ --- - 2*3 / ------ + ------------ + --------------------------------------------------------------------------------- - -------------------------------
_______________________________________________________________________ / 3 \/ 216 12 _______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ________
/ / ________ / / / ________ / 103661 I*\/ 103742
/ 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------
/ -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12
/ 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________
/ / ________ / / / ________
/ / 103661 I*\/ 103742 / / / 103661 I*\/ 103742
/ 18*3 / ------ + ------------ / / 18*3 / ------ + ------------
\/ \/ 216 12 \/ \/ \/ 216 12
x2 = 3 + --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = 3 + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} + \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2}$$
x2 = 3 + sqrt(100/3 - 2*(103661/216 + sqrt(103742)*i/12)^(1/3) + 12/sqrt(50/3 + 2209/(18*(103661/216 + sqrt(103742)*i/12)^(1/3)) + 2*(103661/216 + sqrt(103742)*i/12)^(1/3)) - 2209/(18*(103661/216 + sqrt(103742)*i/12)^(1/3)))/2 + sqrt(50/3 + 2209/(18*(103661/216 + sqrt(103742)*i/12)^(1/3)) + 2*(103661/216 + sqrt(103742)*i/12)^(1/3))/2
Suma y producto de raíces
[src]
suma
____________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________
/ _______________________ / _______________________
/ / ________ / / ________
/ 100 12 / 103661 I*\/ 103742 2209 / 100 / 103661 I*\/ 103742 12 2209
/ --- - --------------------------------------------------------------------------------- - 2*3 / ------ + ------------ - ------------------------------- / --- - 2*3 / ------ + ------------ + --------------------------------------------------------------------------------- - -------------------------------
_______________________________________________________________________ / 3 _______________________________________________________________________ \/ 216 12 _______________________ _______________________________________________________________________ / 3 \/ 216 12 _______________________________________________________________________ _______________________
/ _______________________ / / _______________________ / ________ / _______________________ / / _______________________ / ________
/ / ________ / / / ________ / 103661 I*\/ 103742 / / ________ / / / ________ / 103661 I*\/ 103742
/ 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ / 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------
/ -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 / -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12
/ 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________ / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________
/ / ________ / / / ________ / / ________ / / / ________
/ / 103661 I*\/ 103742 / / / 103661 I*\/ 103742 / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742
/ 18*3 / ------ + ------------ / / 18*3 / ------ + ------------ / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------
\/ \/ 216 12 \/ \/ \/ 216 12 \/ \/ 216 12 \/ \/ \/ 216 12
3 - --------------------------------------------------------------------------------- - --------------------------------------------------------------------------------------------------------------------------------------------------------------------------- + 3 + --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
$$\left(3 - \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2} - \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} - \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2}\right) + \left(3 + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} + \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2}\right)$$
=
____________________________________________________________________________________________________________________________________________________________ ____________________________________________________________________________________________________________________________________________________________
/ _______________________ / _______________________
/ / ________ / / ________
/ 100 / 103661 I*\/ 103742 12 2209 / 100 12 / 103661 I*\/ 103742 2209
/ --- - 2*3 / ------ + ------------ + --------------------------------------------------------------------------------- - ------------------------------- / --- - --------------------------------------------------------------------------------- - 2*3 / ------ + ------------ - -------------------------------
/ 3 \/ 216 12 _______________________________________________________________________ _______________________ / 3 _______________________________________________________________________ \/ 216 12 _______________________
/ / _______________________ / ________ / / _______________________ / ________
/ / / ________ / 103661 I*\/ 103742 / / / ________ / 103661 I*\/ 103742
/ / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------
/ / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12
/ / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________
/ / / ________ / / / ________
/ / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742
/ / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------
\/ \/ \/ 216 12 \/ \/ \/ 216 12
6 + --------------------------------------------------------------------------------------------------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$6 - \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} - \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} + \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2}$$
producto
/ ____________________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________________\ | / _______________________ | | / _______________________ | | / / ________ | | / / ________ | | / 100 12 / 103661 I*\/ 103742 2209 | | / 100 / 103661 I*\/ 103742 12 2209 | | / --- - --------------------------------------------------------------------------------- - 2*3 / ------ + ------------ - ------------------------------- | | / --- - 2*3 / ------ + ------------ + --------------------------------------------------------------------------------- - ------------------------------- | | _______________________________________________________________________ / 3 _______________________________________________________________________ \/ 216 12 _______________________ | | _______________________________________________________________________ / 3 \/ 216 12 _______________________________________________________________________ _______________________ | | / _______________________ / / _______________________ / ________ | | / _______________________ / / _______________________ / ________ | | / / ________ / / / ________ / 103661 I*\/ 103742 | | / / ________ / / / ________ / 103661 I*\/ 103742 | | / 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ | | / 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ | | / -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 | | / -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 | | / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________ | | / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742 | | / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742 | | / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------ | | / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------ | | \/ \/ 216 12 \/ \/ \/ 216 12 | | \/ \/ 216 12 \/ \/ \/ 216 12 | |3 - --------------------------------------------------------------------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|3 + --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 /
$$\left(3 - \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2} - \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} - \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2}\right) \left(3 + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} + \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2}\right)$$
=
/ ____________________________________________________________________________________________________________________________________________________________\ / ____________________________________________________________________________________________________________________________________________________________\ | / _______________________ | | / _______________________ | | / / ________ | | / / ________ | | / 100 12 / 103661 I*\/ 103742 2209 | | / 100 / 103661 I*\/ 103742 12 2209 | | / --- - --------------------------------------------------------------------------------- - 2*3 / ------ + ------------ - ------------------------------- | | / --- - 2*3 / ------ + ------------ + --------------------------------------------------------------------------------- - ------------------------------- | | _______________________________________________________________________ / 3 _______________________________________________________________________ \/ 216 12 _______________________ | | _______________________________________________________________________ / 3 \/ 216 12 _______________________________________________________________________ _______________________ | | / _______________________ / / _______________________ / ________ | | / _______________________ / / _______________________ / ________ | | / / ________ / / / ________ / 103661 I*\/ 103742 | | / / ________ / / / ________ / 103661 I*\/ 103742 | | / 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ | | / 50 / 103661 I*\/ 103742 2209 / / 50 / 103661 I*\/ 103742 2209 18*3 / ------ + ------------ | | / -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 | | / -- + 2*3 / ------ + ------------ + ------------------------------- / / -- + 2*3 / ------ + ------------ + ------------------------------- \/ 216 12 | | / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________ | | / 3 \/ 216 12 _______________________ / / 3 \/ 216 12 _______________________ | | / / ________ / / / ________ | | / / ________ / / / ________ | | / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742 | | / / 103661 I*\/ 103742 / / / 103661 I*\/ 103742 | | / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------ | | / 18*3 / ------ + ------------ / / 18*3 / ------ + ------------ | | \/ \/ 216 12 \/ \/ \/ 216 12 | | \/ \/ 216 12 \/ \/ \/ 216 12 | -|-3 + --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------|*|3 + --------------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 /
$$- \left(-3 + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} - \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2}\right) \left(3 + \frac{\sqrt{\frac{100}{3} - 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}} + \frac{12}{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}} - \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}}{2} + \frac{\sqrt{\frac{50}{3} + \frac{2209}{18 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}} + 2 \sqrt[3]{\frac{103661}{216} + \frac{\sqrt{103742} i}{12}}}}{2}\right)$$
-(-3 + sqrt(50/3 + 2*(103661/216 + i*sqrt(103742)/12)^(1/3) + 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3)))/2 + sqrt(100/3 - 12/sqrt(50/3 + 2*(103661/216 + i*sqrt(103742)/12)^(1/3) + 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3))) - 2*(103661/216 + i*sqrt(103742)/12)^(1/3) - 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3)))/2)*(3 + sqrt(50/3 + 2*(103661/216 + i*sqrt(103742)/12)^(1/3) + 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3)))/2 + sqrt(100/3 - 2*(103661/216 + i*sqrt(103742)/12)^(1/3) + 12/sqrt(50/3 + 2*(103661/216 + i*sqrt(103742)/12)^(1/3) + 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3))) - 2209/(18*(103661/216 + i*sqrt(103742)/12)^(1/3)))/2)