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受欢迎的代数 >

12x^2+1=-7x

解答

12 x^{2} + 1 = - 7 x

解答

x = - \frac{1}{4}, x = - \frac{1}{3}

+1

十进制

x = - 0.25, x = - 0.33333 \dots

求解步骤

12 x^{2} + 1 = - 7 x

将

7 x

para o lado esquerdo

12 x^{2} + 1 + 7 x = 0

改写成标准形式

a x^{2} + b x + c = 0

12 x^{2} + 7 x + 1 = 0

使用求根公式求解

x_{1, 2} = \frac{- 7 \pm 7 ^{2} - 4 \cdot 12 \cdot 1}{2 \cdot 12}

7^{2} - 4 \cdot 12 \cdot 1 = 1

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

将解分隔开

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

x = \frac{- 7 + 1}{2 \cdot 12} : - \frac{1}{4}

x = \frac{- 7 - 1}{2 \cdot 12} : - \frac{1}{3}

二次方程组的解是:

x = - \frac{1}{4}, x = - \frac{1}{3}

作图

流行的例子

3 x^{2} - 6 x = 65

solvefor x,x^2y-12=0

so l v e f or x, x^{2} y - 12 = 0

- 3 c^{2} + 3 c = c - 3

x^2-(26x)/5-24/5 =0

x^{2} - \frac{26 x}{5} - \frac{24}{5} = 0

7 a^{2} - 29 a - 30 = 0