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受欢迎的代数 >

7x-x^3=0

解答

7 x - x^{3} = 0

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

7 x - x^{3} = 0

因式分解

7 x - x^{3} : - 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

x^{3} - 15 x - 126 = 0

- x^{3} + x^{2} - x - 1 = 0

x+x^2-x^4+x^8=125

x + x^{2} - x^{4} + x^{8} = 125

s^3+6s^2+5s+30=0

s^{3} + 6 s^{2} + 5 s + 30 = 0

49 x^{4} + 9 = 58 x^{2}