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受欢迎的代数 >

u^4-5u^2+6=0

解答

u^{4} - 5 u^{2} + 6 = 0

解答

u = 3, u = - 3, u = 2, u = - 2

+1

十进制

u = 1.73205 \dots, u = - 1.73205 \dots, u = 1.41421 \dots, u = - 1.41421 \dots

求解步骤

u^{4} - 5 u^{2} + 6 = 0

用

v = u^{2}

和

v^{2} = u^{4}

改写方程式

v^{2} - 5 v + 6 = 0

解

v^{2} - 5 v + 6 = 0 : v = 3, v = 2

v = 3, v = 2

代回

v = u^{2}

，求解

u

解

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

解

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

解为

u = 3, u = - 3, u = 2, u = - 2

作图

流行的例子

8x^3-12x^2-24x=0

8 x^{3} - 12 x^{2} - 24 x = 0

x^{3} + 9 x - 8 = 0

- x^{4} + x^{3} + 3 x = 0

x^4+x^3+2x^2-x=4.1151

x^{4} + x^{3} + 2 x^{2} - x = 4.1151

solvefor x,y^2=Cx^3-1

so l v e f or x, y^{2} = C x^{3} - 1