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受欢迎的代数 >

x^4-10x^2+16=0

解答

x^{4} - 10 x^{2} + 16 = 0

解答

x = 22, x = - 22, x = 2, x = - 2

+1

十进制

x = 2.82842 \dots, x = - 2.82842 \dots, x = 1.41421 \dots, x = - 1.41421 \dots

求解步骤

x^{4} - 10 x^{2} + 16 = 0

用

u = x^{2}

和

u^{2} = x^{4}

改写方程式

u^{2} - 10 u + 16 = 0

解

u^{2} - 10 u + 16 = 0 : u = 8, u = 2

u = 8, u = 2

代回

u = x^{2}

，求解

x

解

x^{2} = 8 : x = 22, x = - 22

解

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

解为

x = 22, x = - 22, x = 2, x = - 2

作图

流行的例子

2x^4-2^{1/2}x^3-32x^2+8*2^{1/2}x+128=0

2 x^{4} - 2^{\frac{1}{2}} x^{3} - 32 x^{2} + 8 \cdot 2^{\frac{1}{2}} x + 128 = 0

(x-6)^4(x-8)^4=272

(x - 6)^{4} (x - 8)^{4} = 272

solvefor x,b=(3y+2x)^5

so l v e f or x, b = (3 y + 2 x)^{5}

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