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受欢迎的代数 >

4x^2+24x+13=2x^2+6x

解答

4 x^{2} + 24 x + 13 = 2 x^{2} + 6 x

解答

x = \frac{- 9 + 55}{2}, x = - \frac{9 + 55}{2}

+1

十进制

x = - 0.79190 \dots, x = - 8.20809 \dots

求解步骤

4 x^{2} + 24 x + 13 = 2 x^{2} + 6 x

将

6 x

para o lado esquerdo

4 x^{2} + 18 x + 13 = 2 x^{2}

将

2 x^{2}

para o lado esquerdo

2 x^{2} + 18 x + 13 = 0

使用求根公式求解

x_{1, 2} = \frac{- 18 \pm 1 8 ^{2} - 4 \cdot 2 \cdot 13}{2 \cdot 2}

1 8^{2} - 4 \cdot 2 \cdot 13 = 255

x_{1, 2} = \frac{- 18 \pm 2 55}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 18 + 2 55}{2 \cdot 2}, x_{2} = \frac{- 18 - 2 55}{2 \cdot 2}

x = \frac{- 18 + 2 55}{2 \cdot 2} : \frac{- 9 + 55}{2}

x = \frac{- 18 - 2 55}{2 \cdot 2} : - \frac{9 + 55}{2}

二次方程组的解是:

x = \frac{- 9 + 55}{2}, x = - \frac{9 + 55}{2}

作图

流行的例子

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