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受欢迎的代数 >

4x^3+12x^2-25x-75=0

解答

4 x^{3} + 12 x^{2} - 25 x - 75 = 0

解答

x = - 3, x = - \frac{5}{2}, x = \frac{5}{2}

+1

十进制

x = - 3, x = - 2.5, x = 2.5

求解步骤

4 x^{3} + 12 x^{2} - 25 x - 75 = 0

因式分解

4 x^{3} + 12 x^{2} - 25 x - 75 : (x + 3) (2 x + 5) (2 x - 5)

(x + 3) (2 x + 5) (2 x - 5) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

x + 3 = 0 or 2 x + 5 = 0 or 2 x - 5 = 0

解

x + 3 = 0 : x = - 3

解

2 x + 5 = 0 : x = - \frac{5}{2}

解

2 x - 5 = 0 : x = \frac{5}{2}

解为

x = - 3, x = - \frac{5}{2}, x = \frac{5}{2}

作图

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