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受欢迎的代数 >

(6x^2-x-2)(ax+9)=0,a\ne 0

解答

(6 x^{2} - x - 2) (a x + 9) = 0, a \neq = 0

解答

x = - \frac{1}{2}, x = \frac{2}{3}, x = - \frac{9}{a}; a \neq = 0

+1

十进制

x = - 0.5, x = 0.66666 \dots

求解步骤

(6 x^{2} - x - 2) (a x + 9) = 0, a \neq = 0

因式分解

(6 x^{2} - x - 2) (a x + 9) : (2 x + 1) (3 x - 2) (a x + 9)

(2 x + 1) (3 x - 2) (a x + 9) = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

2 x + 1 = 0 or 3 x - 2 = 0 or a x + 9 = 0

解

2 x + 1 = 0 : x = - \frac{1}{2}

解

3 x - 2 = 0 : x = \frac{2}{3}

解

a x + 9 = 0 : x = - \frac{9}{a}; a \neq = 0

解为

x = - \frac{1}{2}, x = \frac{2}{3}, x = - \frac{9}{a}; a \neq = 0

作图

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