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受欢迎的代数 >

x^2+14x=-2

解答

x^{2} + 14 x = - 2

解答

x = - 7 + 47, x = - 7 - 47

+1

十进制

x = - 0.14434 \dots, x = - 13.85565 \dots

求解步骤

x^{2} + 14 x = - 2

将

2

para o lado esquerdo

x^{2} + 14 x + 2 = 0

使用求根公式求解

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 2}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 2 = 247

x_{1, 2} = \frac{- 14 \pm 2 47}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 14 + 2 47}{2 \cdot 1}, x_{2} = \frac{- 14 - 2 47}{2 \cdot 1}

x = \frac{- 14 + 2 47}{2 \cdot 1} : - 7 + 47

x = \frac{- 14 - 2 47}{2 \cdot 1} : - 7 - 47

二次方程组的解是:

x = - 7 + 47, x = - 7 - 47

作图

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