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受欢迎的代数 >

6x^4=48x

解答

6 x^{4} = 48 x

解答

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

求解步骤

6 x^{4} = 48 x

将

48 x

para o lado esquerdo

6 x^{4} - 48 x = 0

因式分解

6 x^{4} - 48 x : 6 x (x - 2) (x^{2} + 2 x + 4)

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

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 2 = 0 or x^{2} + 2 x + 4 = 0

解

x - 2 = 0 : x = 2

解

x^{2} + 2 x + 4 = 0 : x = - 1 + 3 i, x = - 1 - 3 i

解为

x = 0, x = 2, x = - 1 + 3 i, x = - 1 - 3 i

作图

流行的例子

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

5x^3-23x^2+29x-15=0

5 x^{3} - 23 x^{2} + 29 x - 15 = 0

(x + 2)^{4} = 0

x=9x^6x10^{22}x10^{23}

x = 9 x^{6} x 1 0^{22} x 1 0^{23}

0=3x^4-8x^3+6x^2

0 = 3 x^{4} - 8 x^{3} + 6 x^{2}