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受欢迎的代数 >

solvefor x,x^3=7x

解答

求解

x, x^{3} = 7 x

解答

x = 0, x = - 7, x = 7

+1

十进制

x = 0, x = - 2.64575 \dots, x = 2.64575 \dots

求解步骤

x^{3} = 7 x

将

7 x

para o lado esquerdo

x^{3} - 7 x = 0

因式分解

x^{3} - 7 x : x (x + 7) (x - 7)

x (x + 7) (x - 7) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 7 = 0 or x - 7 = 0

解

x + 7 = 0 : x = - 7

解

x - 7 = 0 : x = 7

解为

x = 0, x = - 7, x = 7

作图

流行的例子

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

x^{4} - 7 x^{2} + 6 x = 0

x^{9} = 1

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

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

15x-10=6x-(x^2)(-x^3)

15 x - 10 = 6 x - (x^{2}) (- x^{3})