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Popular Álgebra >

solvefor x,z=x^4-2y^3

Solución

resolver para

x, z = x^{4} - 2 y^{3}

Solución

x = z + 2 y^{3}, x = - z + 2 y^{3}, x = i 4 z + 2 y^{3}, x = - i 4 z + 2 y^{3}

Pasos de solución

z = x^{4} - 2 y^{3}

Intercambiar lados

x^{4} - 2 y^{3} = z

Desplace

2 y^{3}

a la derecha

x^{4} = z + 2 y^{3}

Re-escribir la ecuación con

u = x^{2}

y

u^{2} = x^{4}

u^{2} = z + 2 y^{3}

Resolver

u^{2} = z + 2 y^{3} : u = z + 2 y^{3}, u = - z + 2 y^{3}

u = z + 2 y^{3}, u = - z + 2 y^{3}

Sustituir hacia atrás la

u = x^{2},

resolver para

x

Resolver

x^{2} = z + 2 y^{3} : x = z + 2 y^{3}, x = - z + 2 y^{3}

Resolver

x^{2} = - z + 2 y^{3} : x = i 4 z + 2 y^{3}, x = - i 4 z + 2 y^{3}

Las soluciones son

x = z + 2 y^{3}, x = - z + 2 y^{3}, x = i 4 z + 2 y^{3}, x = - i 4 z + 2 y^{3}

Gráfica

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