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受欢迎的代数 >

因式分解 6x^2+7x+2=0

解答

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

解答

x = - \frac{1}{2}, x = - \frac{2}{3}

+1

十进制

x = - 0.5, x = - 0.66666 \dots

求解步骤

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

因式分解

6 x^{2} + 7 x + 2 : (2 x + 1) (3 x + 2)

(2 x + 1) (3 x + 2) = 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

解

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

解

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

二次方程组的解是:

x = - \frac{1}{2}, x = - \frac{2}{3}

作图

流行的例子

7 (x^{2} - 9) = (x - 3)

(2x^2)/3+2x-27/6 =0

\frac{2 x ^{2}}{3} + 2 x - \frac{27}{6} = 0

7 x^{2} = 11 x

5 x^{2} - 30 x = - 4 x - 5

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