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受欢迎的代数 >

x^2+(x+3)^2=117

解答

x^{2} + (x + 3)^{2} = 117

解答

x = 6, x = - 9

求解步骤

x^{2} + (x + 3)^{2} = 117

展开

x^{2} + (x + 3)^{2} : 2 x^{2} + 6 x + 9

2 x^{2} + 6 x + 9 = 117

将

117

para o lado esquerdo

2 x^{2} + 6 x - 108 = 0

使用求根公式求解

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 2 ( - 108 )}{2 \cdot 2}

6^{2} - 4 \cdot 2 (- 108) = 30

x_{1, 2} = \frac{- 6 \pm 30}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- 6 + 30}{2 \cdot 2}, x_{2} = \frac{- 6 - 30}{2 \cdot 2}

x = \frac{- 6 + 30}{2 \cdot 2} : 6

x = \frac{- 6 - 30}{2 \cdot 2} : - 9

二次方程组的解是:

x = 6, x = - 9

作图

流行的例子

4 t^{2} = 108

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