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受欢迎的代数 >

(y^2-8)^2+4(y^2-8)-5=0

解答

(y^{2} - 8)^{2} + 4 (y^{2} - 8) - 5 = 0

解答

y = 3, y = - 3, y = 3, y = - 3

+1

十进制

y = 3, y = - 3, y = 1.73205 \dots, y = - 1.73205 \dots

求解步骤

(y^{2} - 8)^{2} + 4 (y^{2} - 8) - 5 = 0

展开

(y^{2} - 8)^{2} + 4 (y^{2} - 8) - 5 : y^{4} - 12 y^{2} + 27

y^{4} - 12 y^{2} + 27 = 0

用

u = y^{2}

和

u^{2} = y^{4}

改写方程式

u^{2} - 12 u + 27 = 0

解

u^{2} - 12 u + 27 = 0 : u = 9, u = 3

u = 9, u = 3

代回

u = y^{2}

，求解

y

解

y^{2} = 9 : y = 3, y = - 3

解

y^{2} = 3 : y = 3, y = - 3

解为

y = 3, y = - 3, y = 3, y = - 3

作图

流行的例子

2x^3-x^2-7x-3=0

2 x^{3} - x^{2} - 7 x - 3 = 0

5 x^{3} - 3 x + 1 = 0

x^3+10x^2-1625+18750=0

x^{3} + 10 x^{2} - 1625 + 18750 = 0

2 x^{3} - 4 x = 0

solvefor z,z^3=1

so l v e f or z, z^{3} = 1