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- La ecuación:
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Ecuación 49x^3+14x^2+x=0
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Ecuación x-12=0
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Ecuación (x-3)/(x+1)=0
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Ecuación 15x=0,15
- 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
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Expresiones idénticas
- 5x^ dos -2sqrt(2x)- uno = cero
- 5x al cuadrado menos 2 raíz cuadrada de (2x) menos 1 es igual a 0
- 5x en el grado dos menos 2 raíz cuadrada de (2x) menos uno es igual a cero
- 5x^2-2√(2x)-1=0
- 5x2-2sqrt(2x)-1=0
- 5x2-2sqrt2x-1=0
- 5x²-2sqrt(2x)-1=0
- 5x en el grado 2-2sqrt(2x)-1=0
- 5x^2-2sqrt2x-1=0
- 5x^2-2sqrt(2x)-1=O
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Expresiones semejantes
- 5x^2+2sqrt(2x)-1=0
- 5x^2-2sqrt(2x)+1=0
5x^2-2sqrt(2x)-1=0 la ecuación
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Solución
Respuesta rápida
[src]
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _____
/ 8 / 148 4*\/ 141 8 16
/ -- - 2*3 / ----- + --------- - ---------------------------- + -----------------------------------------------------------------------------
________________________________________________________________ / 15 \/ 16875 5625 ___________________ ________________________________________________________________
/ ___________________ / / _____ / ___________________
/ / _____ / / 148 4*\/ 141 / / _____
/ 4 / 148 4*\/ 141 8 / 225*3 / ----- + --------- / 4 / 148 4*\/ 141 8
/ -- + 2*3 / ----- + --------- + ---------------------------- / \/ 16875 5625 25* / -- + 2*3 / ----- + --------- + ----------------------------
/ 15 \/ 16875 5625 ___________________ / / 15 \/ 16875 5625 ___________________
/ / _____ / / / _____
/ / 148 4*\/ 141 / / / 148 4*\/ 141
/ 225*3 / ----- + --------- / / 225*3 / ----- + ---------
\/ \/ 16875 5625 \/ \/ \/ 16875 5625
x1 = -------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$x_{1} = \frac{\sqrt{- 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}} - \frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{8}{15} + \frac{16}{25 \sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}}}{2} + \frac{\sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}{2}$$
x1 = sqrt(-2*(4*sqrt(141)/5625 + 148/16875)^(1/3) - 8/(225*(4*sqrt(141)/5625 + 148/16875)^(1/3)) + 8/15 + 16/(25*sqrt(8/(225*(4*sqrt(141)/5625 + 148/16875)^(1/3)) + 4/15 + 2*(4*sqrt(141)/5625 + 148/16875)^(1/3))))/2 + sqrt(8/(225*(4*sqrt(141)/5625 + 148/16875)^(1/3)) + 4/15 + 2*(4*sqrt(141)/5625 + 148/16875)^(1/3))/2
Suma y producto de raíces
[src]
suma
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _____
/ 8 / 148 4*\/ 141 8 16
/ -- - 2*3 / ----- + --------- - ---------------------------- + -----------------------------------------------------------------------------
________________________________________________________________ / 15 \/ 16875 5625 ___________________ ________________________________________________________________
/ ___________________ / / _____ / ___________________
/ / _____ / / 148 4*\/ 141 / / _____
/ 4 / 148 4*\/ 141 8 / 225*3 / ----- + --------- / 4 / 148 4*\/ 141 8
/ -- + 2*3 / ----- + --------- + ---------------------------- / \/ 16875 5625 25* / -- + 2*3 / ----- + --------- + ----------------------------
/ 15 \/ 16875 5625 ___________________ / / 15 \/ 16875 5625 ___________________
/ / _____ / / / _____
/ / 148 4*\/ 141 / / / 148 4*\/ 141
/ 225*3 / ----- + --------- / / 225*3 / ----- + ---------
\/ \/ 16875 5625 \/ \/ \/ 16875 5625
-------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}} - \frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{8}{15} + \frac{16}{25 \sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}}}{2} + \frac{\sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}{2}$$
=
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _____
/ 8 / 148 4*\/ 141 8 16
/ -- - 2*3 / ----- + --------- - ---------------------------- + -----------------------------------------------------------------------------
________________________________________________________________ / 15 \/ 16875 5625 ___________________ ________________________________________________________________
/ ___________________ / / _____ / ___________________
/ / _____ / / 148 4*\/ 141 / / _____
/ 4 / 148 4*\/ 141 8 / 225*3 / ----- + --------- / 4 / 148 4*\/ 141 8
/ -- + 2*3 / ----- + --------- + ---------------------------- / \/ 16875 5625 25* / -- + 2*3 / ----- + --------- + ----------------------------
/ 15 \/ 16875 5625 ___________________ / / 15 \/ 16875 5625 ___________________
/ / _____ / / / _____
/ / 148 4*\/ 141 / / / 148 4*\/ 141
/ 225*3 / ----- + --------- / / 225*3 / ----- + ---------
\/ \/ 16875 5625 \/ \/ \/ 16875 5625
-------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}} - \frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{8}{15} + \frac{16}{25 \sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}}}{2} + \frac{\sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}{2}$$
producto
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _____
/ 8 / 148 4*\/ 141 8 16
/ -- - 2*3 / ----- + --------- - ---------------------------- + -----------------------------------------------------------------------------
________________________________________________________________ / 15 \/ 16875 5625 ___________________ ________________________________________________________________
/ ___________________ / / _____ / ___________________
/ / _____ / / 148 4*\/ 141 / / _____
/ 4 / 148 4*\/ 141 8 / 225*3 / ----- + --------- / 4 / 148 4*\/ 141 8
/ -- + 2*3 / ----- + --------- + ---------------------------- / \/ 16875 5625 25* / -- + 2*3 / ----- + --------- + ----------------------------
/ 15 \/ 16875 5625 ___________________ / / 15 \/ 16875 5625 ___________________
/ / _____ / / / _____
/ / 148 4*\/ 141 / / / 148 4*\/ 141
/ 225*3 / ----- + --------- / / 225*3 / ----- + ---------
\/ \/ 16875 5625 \/ \/ \/ 16875 5625
-------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}} - \frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{8}{15} + \frac{16}{25 \sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}}}{2} + \frac{\sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}{2}$$
=
________________________________________________________________________________________________________________________________________________
/ ___________________
/ / _____
/ 8 / 148 4*\/ 141 8 16
/ -- - 2*3 / ----- + --------- - ---------------------------- + -----------------------------------------------------------------------------
________________________________________________________________ / 15 \/ 16875 5625 ___________________ ________________________________________________________________
/ ___________________ / / _____ / ___________________
/ / _____ / / 148 4*\/ 141 / / _____
/ 4 / 148 4*\/ 141 8 / 225*3 / ----- + --------- / 4 / 148 4*\/ 141 8
/ -- + 2*3 / ----- + --------- + ---------------------------- / \/ 16875 5625 25* / -- + 2*3 / ----- + --------- + ----------------------------
/ 15 \/ 16875 5625 ___________________ / / 15 \/ 16875 5625 ___________________
/ / _____ / / / _____
/ / 148 4*\/ 141 / / / 148 4*\/ 141
/ 225*3 / ----- + --------- / / 225*3 / ----- + ---------
\/ \/ 16875 5625 \/ \/ \/ 16875 5625
-------------------------------------------------------------------------- + ---------------------------------------------------------------------------------------------------------------------------------------------------------------
2 2
$$\frac{\sqrt{- 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}} - \frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{8}{15} + \frac{16}{25 \sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}}}{2} + \frac{\sqrt{\frac{8}{225 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}} + \frac{4}{15} + 2 \sqrt[3]{\frac{4 \sqrt{141}}{5625} + \frac{148}{16875}}}}{2}$$
sqrt(4/15 + 2*(148/16875 + 4*sqrt(141)/5625)^(1/3) + 8/(225*(148/16875 + 4*sqrt(141)/5625)^(1/3)))/2 + sqrt(8/15 - 2*(148/16875 + 4*sqrt(141)/5625)^(1/3) - 8/(225*(148/16875 + 4*sqrt(141)/5625)^(1/3)) + 16/(25*sqrt(4/15 + 2*(148/16875 + 4*sqrt(141)/5625)^(1/3) + 8/(225*(148/16875 + 4*sqrt(141)/5625)^(1/3)))))/2