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受欢迎的代数 >

6x^2=-8x-7

解答

6 x^{2} = - 8 x - 7

解答

x = - \frac{2}{3} + i \frac{26}{6}, x = - \frac{2}{3} - i \frac{26}{6}

求解步骤

6 x^{2} = - 8 x - 7

将

7

para o lado esquerdo

6 x^{2} + 7 = - 8 x

将

8 x

para o lado esquerdo

6 x^{2} + 7 + 8 x = 0

改写成标准形式

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

6 x^{2} + 8 x + 7 = 0

使用求根公式求解

x_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 6 \cdot 7}{2 \cdot 6}

化简

8^{2} - 4 \cdot 6 \cdot 7 : 226 i

x_{1, 2} = \frac{- 8 \pm 2 26 i}{2 \cdot 6}

将解分隔开

x_{1} = \frac{- 8 + 2 26 i}{2 \cdot 6}, x_{2} = \frac{- 8 - 2 26 i}{2 \cdot 6}

x = \frac{- 8 + 2 26 i}{2 \cdot 6} : - \frac{2}{3} + i \frac{26}{6}

x = \frac{- 8 - 2 26 i}{2 \cdot 6} : - \frac{2}{3} - i \frac{26}{6}

二次方程组的解是:

x = - \frac{2}{3} + i \frac{26}{6}, x = - \frac{2}{3} - i \frac{26}{6}

作图

流行的例子

(3 x - 3)^{2} - 36 = 0

- 2 x^{2} + 10 x + 7 = 0

因式分解 x^2+6x-16=0

f a c t or x^{2} + 6 x - 16 = 0

x^2-4ax+4a^2-c^2=0

x^{2} - 4 a x + 4 a^{2} - c^{2} = 0

-2x^2-40x-344=0

- 2 x^{2} - 40 x - 344 = 0