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受欢迎的代数 >

x^4-5x^24=0

解答

x^{4} - 5 x^{2} 4 = 0

解答

x = 25, x = - 25, x = 0

+1

十进制

x = 4.47213 \dots, x = - 4.47213 \dots, x = 0

求解步骤

x^{4} - 5 x^{2} \cdot 4 = 0

展开

x^{4} - 5 x^{2} \cdot 4 : x^{4} - 20 x^{2}

x^{4} - 20 x^{2} = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 20 u = 0

解

u^{2} - 20 u = 0 : u = 20, u = 0

u = 20, u = 0

代回

u = x^{2}

，求解

x

解

x^{2} = 20 : x = 25, x = - 25

解

x^{2} = 0 : x = 0

解为

x = 25, x = - 25, x = 0

作图

流行的例子

solvefor V= 4/3 pir^3,r

so l v e f or V = \frac{4}{3} π r^{3}, r

(x^3-1)(x^5-1)=0

(x^{3} - 1) (x^{5} - 1) = 0

\frac{2 x ^{4} - 1}{8} = 0

y^{3} - 3 = 1

(x^2+4)^2-13(x^2+4)+40=0

(x^{2} + 4)^{2} - 13 (x^{2} + 4) + 40 = 0