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受欢迎的代数 >

4m(3m+2)=m+12

解答

4 m (3 m + 2) = m + 12

解答

m = \frac{3}{4}, m = - \frac{4}{3}

+1

十进制

m = 0.75, m = - 1.33333 \dots

求解步骤

4 m (3 m + 2) = m + 12

展开

4 m (3 m + 2) : 12 m^{2} + 8 m

12 m^{2} + 8 m = m + 12

将

12

para o lado esquerdo

12 m^{2} + 8 m - 12 = m

将

m

para o lado esquerdo

12 m^{2} + 7 m - 12 = 0

使用求根公式求解

m_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 12 ( - 12 )}{2 \cdot 12}

7^{2} - 4 \cdot 12 (- 12) = 25

m_{1, 2} = \frac{- 7 \pm 25}{2 \cdot 12}

将解分隔开

m_{1} = \frac{- 7 + 25}{2 \cdot 12}, m_{2} = \frac{- 7 - 25}{2 \cdot 12}

m = \frac{- 7 + 25}{2 \cdot 12} : \frac{3}{4}

m = \frac{- 7 - 25}{2 \cdot 12} : - \frac{4}{3}

二次方程组的解是:

m = \frac{3}{4}, m = - \frac{4}{3}

作图

流行的例子

0 = 3 x^{2} + 12 x - 3

4 (h^{2}) - 64 = 0

2 (3 x + 5) = x^{2}

-0.000006x^2-0.04x+200=0

- 0.000006 x^{2} - 0.04 x + 200 = 0

3 (2 f - 6)^{2} = 108