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- La ecuación:
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Ecuación x^2+5x=36
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Ecuación 9-7(x+3)=5-6x
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Ecuación 4x-5=3+2(x+1)
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Ecuación 6/(x-2)+5/x=3
- Expresar {x} en función de y en la ecuación:
- -14*x-12*y=-13
- -20*x+14*y=16
- -7*x+15*y=-11
- -14*x+5*y=3
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Expresiones idénticas
- uno /√(3²-x²)+ uno /√(2²-x²)= uno
- 1 dividir por √(3² menos x²) más 1 dividir por √(2² menos x²) es igual a 1
- uno dividir por √(3² menos x²) más uno dividir por √(2² menos x²) es igual a uno
- 1/√3²-x²+1/√2²-x²=1
- 1 dividir por √(3²-x²)+1 dividir por √(2²-x²)=1
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Expresiones semejantes
- 1/√(3²-x²)-1/√(2²-x²)=1
- 1/√(3²-x²)+1/√(2²+x²)=1
- 1/√(3²+x²)+1/√(2²-x²)=1
1/√(3²-x²)+1/√(2²-x²)=1 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
1 1 ----------- + ----------- = 1 ________ ________ / 2 / 2 \/ 9 - x \/ 4 - x
$$\frac{1}{\sqrt{9 - x^{2}}} + \frac{1}{\sqrt{4 - x^{2}}} = 1$$
Respuesta rápida
[src]
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________________________________ 3/4 / ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________
/ __________________ / __________________ 2/3 __________________ / __________________ 2/3\ __________________ / / __________________ 2/3 __________________ __________________ / __________________ 2/3 2/3 / __________________ 2/3
___ / 3 / ____ 4 / 3 / ____ 3 ___ 2/3 / ____\ ___ 6 / ____ | 3 / ____ 3 ___ 2/3 / ____\ | ___ 6 / ____ / 3 ___ / 3 / ____ 3 ___ 2/3 / ____\ ___ / ____ 3 / ____ / 3 / ____ 3 ___ 2/3 / ____\ 2/3 / ____\ / 3 / ____ 3 ___ 2/3 / ____\
-\/ 6 *\/ 33*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / - \/ 3 *\/ 1741 + 48*\/ 39 *\37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / / - \/ 3 *\/ 1741 + 48*\/ 39 *\/ - 245*\/ 5 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / + 48*\/ 3 *\/ 1741 + 48*\/ 39 + 74*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / - 5 *\1741 + 48*\/ 39 / *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 /
x1 = ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
___________________________________________________________________
__________________ / __________________ 2/3
6 / ____ 8 / 3 / ____ 3 ___ 2/3 / ____\
6*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 /
$$x_{1} = - \frac{\sqrt{6} \sqrt{- \sqrt{3} \sqrt[6]{48 \sqrt{39} + 1741} \left(245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}\right)^{\frac{3}{4}} - \sqrt{3} \sqrt[6]{48 \sqrt{39} + 1741} \sqrt{- 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}} - 245 \sqrt[3]{5} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}} + 48 \sqrt{3} \sqrt{48 \sqrt{39} + 1741} + 74 \sqrt[3]{48 \sqrt{39} + 1741} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}} + 33 \sqrt[3]{48 \sqrt{39} + 1741} \sqrt[4]{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}}}{6 \sqrt[6]{48 \sqrt{39} + 1741} \sqrt[8]{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}}$$
_________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
/ ___________________________________________________________________ 3/4 / ___________________________________________________________________ ___________________________________________________________________ ___________________________________________________________________
/ __________________ / __________________ 2/3 __________________ / __________________ 2/3\ __________________ / / __________________ 2/3 __________________ __________________ / __________________ 2/3 2/3 / __________________ 2/3
___ / 3 / ____ 4 / 3 / ____ 3 ___ 2/3 / ____\ ___ 6 / ____ | 3 / ____ 3 ___ 2/3 / ____\ | ___ 6 / ____ / 3 ___ / 3 / ____ 3 ___ 2/3 / ____\ ___ / ____ 3 / ____ / 3 / ____ 3 ___ 2/3 / ____\ 2/3 / ____\ / 3 / ____ 3 ___ 2/3 / ____\
\/ 6 *\/ 33*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / - \/ 3 *\/ 1741 + 48*\/ 39 *\37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / / - \/ 3 *\/ 1741 + 48*\/ 39 *\/ - 245*\/ 5 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / + 48*\/ 3 *\/ 1741 + 48*\/ 39 + 74*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 / - 5 *\1741 + 48*\/ 39 / *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 /
x2 = -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
___________________________________________________________________
__________________ / __________________ 2/3
6 / ____ 8 / 3 / ____ 3 ___ 2/3 / ____\
6*\/ 1741 + 48*\/ 39 *\/ 37*\/ 1741 + 48*\/ 39 + 245*\/ 5 + 5 *\1741 + 48*\/ 39 /
$$x_{2} = \frac{\sqrt{6} \sqrt{- \sqrt{3} \sqrt[6]{48 \sqrt{39} + 1741} \left(245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}\right)^{\frac{3}{4}} - \sqrt{3} \sqrt[6]{48 \sqrt{39} + 1741} \sqrt{- 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}} - 245 \sqrt[3]{5} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}} + 48 \sqrt{3} \sqrt{48 \sqrt{39} + 1741} + 74 \sqrt[3]{48 \sqrt{39} + 1741} \sqrt{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}} + 33 \sqrt[3]{48 \sqrt{39} + 1741} \sqrt[4]{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}}}{6 \sqrt[6]{48 \sqrt{39} + 1741} \sqrt[8]{245 \sqrt[3]{5} + 37 \sqrt[3]{48 \sqrt{39} + 1741} + 5^{\frac{2}{3}} \left(48 \sqrt{39} + 1741\right)^{\frac{2}{3}}}}$$
x2 = sqrt(6)*sqrt(-sqrt(3)*(48*sqrt(39) + 1741)^(1/6)*(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3))^(3/4) - sqrt(3)*(48*sqrt(39) + 1741)^(1/6)*sqrt(-5^(2/3)*(48*sqrt(39) + 1741)^(2/3)*sqrt(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3)) - 245*5^(1/3)*sqrt(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3)) + 48*sqrt(3)*sqrt(48*sqrt(39) + 1741) + 74*(48*sqrt(39) + 1741)^(1/3)*sqrt(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3))) + 33*(48*sqrt(39) + 1741)^(1/3)*(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3))^(1/4))/(6*(48*sqrt(39) + 1741)^(1/6)*(245*5^(1/3) + 37*(48*sqrt(39) + 1741)^(1/3) + 5^(2/3)*(48*sqrt(39) + 1741)^(2/3))^(1/8))