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受欢迎的代数 >

5x^2+8=-12x

解答

5 x^{2} + 8 = - 12 x

解答

x = - \frac{6}{5} + i \frac{2}{5}, x = - \frac{6}{5} - i \frac{2}{5}

求解步骤

5 x^{2} + 8 = - 12 x

将

12 x

para o lado esquerdo

5 x^{2} + 8 + 12 x = 0

改写成标准形式

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

5 x^{2} + 12 x + 8 = 0

使用求根公式求解

x_{1, 2} = \frac{- 12 \pm 1 2 ^{2} - 4 \cdot 5 \cdot 8}{2 \cdot 5}

化简

1 2^{2} - 4 \cdot 5 \cdot 8 : 4 i

x_{1, 2} = \frac{- 12 \pm 4 i}{2 \cdot 5}

将解分隔开

x_{1} = \frac{- 12 + 4 i}{2 \cdot 5}, x_{2} = \frac{- 12 - 4 i}{2 \cdot 5}

x = \frac{- 12 + 4 i}{2 \cdot 5} : - \frac{6}{5} + i \frac{2}{5}

x = \frac{- 12 - 4 i}{2 \cdot 5} : - \frac{6}{5} - i \frac{2}{5}

二次方程组的解是:

x = - \frac{6}{5} + i \frac{2}{5}, x = - \frac{6}{5} - i \frac{2}{5}

作图

流行的例子

4 X^{2} - 8 X + 3 = 0

6 x^{2} - 5 x + 7 = 0

solvefor x,3x^2-2x-1=0

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completesquare 12x^2-60x+5

co m pl e t es q u a re 12 x^{2} - 60 x + 5