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受欢迎的代数 >

(x-7)^2+x^2=(x+7)^2

解答

(x - 7)^{2} + x^{2} = (x + 7)^{2}

解答

x = 28, x = 0

求解步骤

(x - 7)^{2} + x^{2} = (x + 7)^{2}

展开

(x - 7)^{2} + x^{2} : 2 x^{2} - 14 x + 49

展开

(x + 7)^{2} : x^{2} + 14 x + 49

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

将

49

para o lado esquerdo

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

将

14 x

para o lado esquerdo

2 x^{2} - 28 x = x^{2}

将

x^{2}

para o lado esquerdo

x^{2} - 28 x = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 28 ) \pm ( - 28 ) ^{2} - 4 \cdot 1 \cdot 0}{2 \cdot 1}

(- 28)^{2} - 4 \cdot 1 \cdot 0 = 28

x_{1, 2} = \frac{- ( - 28 ) \pm 28}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 28 ) + 28}{2 \cdot 1}, x_{2} = \frac{- ( - 28 ) - 28}{2 \cdot 1}

x = \frac{- ( - 28 ) + 28}{2 \cdot 1} : 28

x = \frac{- ( - 28 ) - 28}{2 \cdot 1} : 0

二次方程组的解是:

x = 28, x = 0

作图

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