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受欢迎的代数 >

25=x^2+14x+49

解答

25 = x^{2} + 14 x + 49

解答

x = - 2, x = - 12

求解步骤

25 = x^{2} + 14 x + 49

交换两边

x^{2} + 14 x + 49 = 25

将

25

para o lado esquerdo

x^{2} + 14 x + 24 = 0

使用求根公式求解

x_{1, 2} = \frac{- 14 \pm 1 4 ^{2} - 4 \cdot 1 \cdot 24}{2 \cdot 1}

1 4^{2} - 4 \cdot 1 \cdot 24 = 10

x_{1, 2} = \frac{- 14 \pm 10}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- 14 + 10}{2 \cdot 1}, x_{2} = \frac{- 14 - 10}{2 \cdot 1}

x = \frac{- 14 + 10}{2 \cdot 1} : - 2

x = \frac{- 14 - 10}{2 \cdot 1} : - 12

二次方程组的解是:

x = - 2, x = - 12

作图

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