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受欢迎的代数 >

solvefor x,y^3=Cx^4+2

解答

求解

x, y^{3} = C x^{4} + 2

解答

x = \frac{y ^{3} - 2}{C}, x = - \frac{y ^{3} - 2}{C}, x = i 4 \frac{y ^{3} - 2}{C}, x = - i 4 \frac{y ^{3} - 2}{C}

求解步骤

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

交换两边

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

将

2

到右边

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

两边除以

C; C \neq = 0

x^{4} = \frac{y ^{3} - 2}{C}; C \neq = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} = \frac{y ^{3} - 2}{C}

解

u^{2} = \frac{y ^{3} - 2}{C} : u = \frac{y ^{3} - 2}{C}, u = - \frac{y ^{3} - 2}{C}

u = \frac{y ^{3} - 2}{C}, u = - \frac{y ^{3} - 2}{C}

代回

u = x^{2}

，求解

x

解

x^{2} = \frac{y ^{3} - 2}{C} : x = \frac{y ^{3} - 2}{C}, x = - \frac{y ^{3} - 2}{C}

解

x^{2} = - \frac{y ^{3} - 2}{C} : x = i 4 \frac{y ^{3} - 2}{C}, x = - i 4 \frac{y ^{3} - 2}{C}

解为

x = \frac{y ^{3} - 2}{C}, x = - \frac{y ^{3} - 2}{C}, x = i 4 \frac{y ^{3} - 2}{C}, x = - i 4 \frac{y ^{3} - 2}{C}

作图

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