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受欢迎的代数 >

3x^4=1536x

解答

3 x^{4} = 1536 x

解答

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

求解步骤

3 x^{4} = 1536 x

将

1536 x

para o lado esquerdo

3 x^{4} - 1536 x = 0

因式分解

3 x^{4} - 1536 x : 3 x (x - 8) (x^{2} + 8 x + 64)

3 x (x - 8) (x^{2} + 8 x + 64) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x - 8 = 0 or x^{2} + 8 x + 64 = 0

解

x - 8 = 0 : x = 8

解

x^{2} + 8 x + 64 = 0 : x = - 4 + 43 i, x = - 4 - 43 i

解为

x = 0, x = 8, x = - 4 + 43 i, x = - 4 - 43 i

作图

流行的例子

16x^3+64x^2-x-4=0

16 x^{3} + 64 x^{2} - x - 4 = 0

6x^4-x^3+5x^2-x-1=0

6 x^{4} - x^{3} + 5 x^{2} - x - 1 = 0

solvefor y,x=y^3+1

so l v e f or y, x = y^{3} + 1

2 x^{4} - 3 x^{2} - 20 = 0

x^{8} - 8 = 0