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受欢迎的代数 >

4x(x^2-3)=0

解答

4 x (x^{2} - 3) = 0

解答

x = 0, x = - 3, x = 3

+1

十进制

x = 0, x = - 1.73205 \dots, x = 1.73205 \dots

求解步骤

4 x (x^{2} - 3) = 0

因式分解

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

4 x (x + 3) (x - 3) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x = 0 or x + 3 = 0 or x - 3 = 0

解

x + 3 = 0 : x = - 3

解

x - 3 = 0 : x = 3

解为

x = 0, x = - 3, x = 3

作图

流行的例子

4 x^{3} - 100 x = 0

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

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

(1 + x)^{20} = 2

105000=27000*a^5

105000 = 27000 \cdot a^{5}

16x^3+96x^2-25x-150=0

16 x^{3} + 96 x^{2} - 25 x - 150 = 0