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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 3*x=8
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
- Expresar {x} en función de y en la ecuación:
- -17*x+2*y=9
- 10*x-15*y=16
- -17*x+2*y=-4
- -2*x-19*y=3
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Expresiones idénticas
- x^ dos - tres √(dos *x)+ cuatro = cero
- x al cuadrado menos 3√(2 multiplicar por x) más 4 es igual a 0
- x en el grado dos menos tres √(dos multiplicar por x) más cuatro es igual a cero
- x2-3√(2*x)+4=0
- x2-3√2*x+4=0
- x²-3√(2*x)+4=0
- x en el grado 2-3√(2*x)+4=0
- x^2-3√(2x)+4=0
- x2-3√(2x)+4=0
- x2-3√2x+4=0
- x^2-3√2x+4=0
- x^2-3√(2*x)+4=O
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Expresiones semejantes
- x^2+3√(2*x)+4=0
- x^2-3√(2*x)-4=0
x^2-3√(2*x)+4=0 la ecuación
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Solución
Respuesta rápida
[src]
_______________________________________________________________________________________________________________________________________
/ __________________
/ / ______
/ 32 36 / 139 I*\/ 5727 128
I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + -------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________
/ __________________ / / __________________ / ______
/ / ______ / / / ______ / 139 I*\/ 5727
/ 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ----------
/ - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4
/ 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________
/ / ______ / / / ______
/ / 139 I*\/ 5727 / / / 139 I*\/ 5727
/ 9*3 / --- + ---------- / / 9*3 / --- + ----------
\/ \/ 108 4 \/ \/ \/ 108 4
x1 = ------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = - \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}$$
_______________________________________________________________________________________________________________________________________
/ __________________
/ / ______
/ 32 36 / 139 I*\/ 5727 128
I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + -------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________
/ __________________ / / __________________ / ______
/ / ______ / / / ______ / 139 I*\/ 5727
/ 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ----------
/ - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4
/ 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________
/ / ______ / / / ______
/ / 139 I*\/ 5727 / / / 139 I*\/ 5727
/ 9*3 / --- + ---------- / / 9*3 / --- + ----------
\/ \/ 108 4 \/ \/ \/ 108 4
x2 = ------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{2} = \frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}$$
x2 = sqrt(-16/3 + 128/(9*(139/108 + sqrt(5727)*i/4)^(1/3)) + 2*(139/108 + sqrt(5727)*i/4)^(1/3))/2 + i*sqrt(32/3 + 128/(9*(139/108 + sqrt(5727)*i/4)^(1/3)) - 36/sqrt(-16/3 + 128/(9*(139/108 + sqrt(5727)*i/4)^(1/3)) + 2*(139/108 + sqrt(5727)*i/4)^(1/3)) + 2*(139/108 + sqrt(5727)*i/4)^(1/3))/2
Suma y producto de raíces
[src]
suma
_______________________________________________________________________________________________________________________________________ _______________________________________________________________________________________________________________________________________
/ __________________ / __________________
/ / ______ / / ______
/ 32 36 / 139 I*\/ 5727 128 / 32 36 / 139 I*\/ 5727 128
I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + ------------------------- I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + -------------------------
______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________ ______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________
/ __________________ / / __________________ / ______ / __________________ / / __________________ / ______
/ / ______ / / / ______ / 139 I*\/ 5727 / / ______ / / / ______ / 139 I*\/ 5727
/ 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ---------- / 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ----------
/ - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4 / - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4
/ 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________ / 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________
/ / ______ / / / ______ / / ______ / / / ______
/ / 139 I*\/ 5727 / / / 139 I*\/ 5727 / / 139 I*\/ 5727 / / / 139 I*\/ 5727
/ 9*3 / --- + ---------- / / 9*3 / --- + ---------- / 9*3 / --- + ---------- / / 9*3 / --- + ----------
\/ \/ 108 4 \/ \/ \/ 108 4 \/ \/ 108 4 \/ \/ \/ 108 4
------------------------------------------------------------------------ - -------------------------------------------------------------------------------------------------------------------------------------------------------- + ------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------
2 2 2 2
$$\left(- \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}\right) + \left(\frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}\right)$$
=
______________________________________________________________
/ __________________
/ / ______
/ 16 / 139 I*\/ 5727 128
/ - -- + 2*3 / --- + ---------- + -------------------------
/ 3 \/ 108 4 __________________
/ / ______
/ / 139 I*\/ 5727
/ 9*3 / --- + ----------
\/ \/ 108 4
$$\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}$$
producto
/ _______________________________________________________________________________________________________________________________________\ / _______________________________________________________________________________________________________________________________________\ | / __________________ | | / __________________ | | / / ______ | | / / ______ | | / 32 36 / 139 I*\/ 5727 128 | | / 32 36 / 139 I*\/ 5727 128 | | I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + ------------------------- | | I* / -- - ------------------------------------------------------------------------ + 2*3 / --- + ---------- + ------------------------- | | ______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________ | | ______________________________________________________________ / 3 ______________________________________________________________ \/ 108 4 __________________ | | / __________________ / / __________________ / ______ | | / __________________ / / __________________ / ______ | | / / ______ / / / ______ / 139 I*\/ 5727 | | / / ______ / / / ______ / 139 I*\/ 5727 | | / 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ---------- | | / 16 / 139 I*\/ 5727 128 / / 16 / 139 I*\/ 5727 128 9*3 / --- + ---------- | | / - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4 | | / - -- + 2*3 / --- + ---------- + ------------------------- / / - -- + 2*3 / --- + ---------- + ------------------------- \/ 108 4 | | / 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________ | | / 3 \/ 108 4 __________________ / / 3 \/ 108 4 __________________ | | / / ______ / / / ______ | | / / ______ / / / ______ | | / / 139 I*\/ 5727 / / / 139 I*\/ 5727 | | / / 139 I*\/ 5727 / / / 139 I*\/ 5727 | | / 9*3 / --- + ---------- / / 9*3 / --- + ---------- | | / 9*3 / --- + ---------- / / 9*3 / --- + ---------- | |\/ \/ 108 4 \/ \/ \/ 108 4 | |\/ \/ 108 4 \/ \/ \/ 108 4 | |------------------------------------------------------------------------ - --------------------------------------------------------------------------------------------------------------------------------------------------------|*|------------------------------------------------------------------------ + --------------------------------------------------------------------------------------------------------------------------------------------------------| \ 2 2 / \ 2 2 /
$$\left(- \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}\right) \left(\frac{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2} + \frac{i \sqrt{\frac{32}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} - \frac{36}{\sqrt{- \frac{16}{3} + \frac{128}{9 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}} + 2 \sqrt[3]{\frac{139}{108} + \frac{\sqrt{5727} i}{4}}}}{2}\right)$$
=
_____________________
3 / ______ ___ 2/3
4 \/ 278 + 54*I*\/ 5727 9*\/ 3 64*2
- + ------------------------ - ------------------------------------------------------------------------ + --------------------------
3 6 _________________________________________________________________ _____________________
/ _____________________ 2/3 3 / ______
/ 3 ___ 3 / ______ 128*2 3*\/ 139 + 27*I*\/ 5727
/ -16 + \/ 2 *\/ 139 + 27*I*\/ 5727 + ------------------------
/ _____________________
/ 3 / ______
\/ \/ 139 + 27*I*\/ 5727
$$\frac{4}{3} + \frac{64 \cdot 2^{\frac{2}{3}}}{3 \sqrt[3]{139 + 27 \sqrt{5727} i}} - \frac{9 \sqrt{3}}{\sqrt{-16 + \frac{128 \cdot 2^{\frac{2}{3}}}{\sqrt[3]{139 + 27 \sqrt{5727} i}} + \sqrt[3]{2} \sqrt[3]{139 + 27 \sqrt{5727} i}}} + \frac{\sqrt[3]{278 + 54 \sqrt{5727} i}}{6}$$
4/3 + (278 + 54*i*sqrt(5727))^(1/3)/6 - 9*sqrt(3)/sqrt(-16 + 2^(1/3)*(139 + 27*i*sqrt(5727))^(1/3) + 128*2^(2/3)/(139 + 27*i*sqrt(5727))^(1/3)) + 64*2^(2/3)/(3*(139 + 27*i*sqrt(5727))^(1/3))
Respuesta numérica
[src]
x1 = 1.00282670749763 + 0.719962314376535*i
x2 = 1.00282670749763 - 0.719962314376535*i
x2 = 1.00282670749763 - 0.719962314376535*i