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受欢迎的代数 >

1/12 x^2+2/3 x=7

解答

\frac{1}{12} x^{2} + \frac{2}{3} x = 7

解答

x = 6, x = - 14

求解步骤

\frac{1}{12} x^{2} + \frac{2}{3} x = 7

找到

12, 3

的最小公倍数:

12

乘以最小公倍数=

12

\frac{1}{12} x^{2} \cdot 12 + \frac{2}{3} x \cdot 12 = 7 \cdot 12

化简

x^{2} + 8 x = 84

将

84

para o lado esquerdo

x^{2} + 8 x - 84 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 1 \cdot ( - 84 )}{2 \cdot 1}

8^{2} - 4 \cdot 1 \cdot (- 84) = 20

x_{1, 2} = \frac{- 8 \pm 20}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 8 + 20}{2 \cdot 1}, x_{2} = \frac{- 8 - 20}{2 \cdot 1}

x = \frac{- 8 + 20}{2 \cdot 1} : 6

x = \frac{- 8 - 20}{2 \cdot 1} : - 14

二次方程组的解是:

x = 6, x = - 14

作图

流行的例子

x^{2} = 216

4 w^{2} + 10 w + 12 = 0

6x^2+48x+207=15

6 x^{2} + 48 x + 207 = 15

- 9 x^{2} + 81 = 0

2 r^{2} - 8 r = - 64