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受欢迎的代数 >

(x-5)^2=(x+5)^2-3x^2-25

解答

(x - 5)^{2} = (x + 5)^{2} - 3 x^{2} - 25

解答

x = 5, x = \frac{5}{3}

+1

十进制

x = 5, x = 1.66666 \dots

求解步骤

(x - 5)^{2} = (x + 5)^{2} - 3 x^{2} - 25

展开

(x - 5)^{2} : x^{2} - 10 x + 25

展开

(x + 5)^{2} - 3 x^{2} - 25 : - 2 x^{2} + 10 x

x^{2} - 10 x + 25 = - 2 x^{2} + 10 x

将

10 x

para o lado esquerdo

x^{2} - 20 x + 25 = - 2 x^{2}

将

2 x^{2}

para o lado esquerdo

3 x^{2} - 20 x + 25 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 20 ) \pm ( - 20 ) ^{2} - 4 \cdot 3 \cdot 25}{2 \cdot 3}

(- 20)^{2} - 4 \cdot 3 \cdot 25 = 10

x_{1, 2} = \frac{- ( - 20 ) \pm 10}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 20 ) + 10}{2 \cdot 3}, x_{2} = \frac{- ( - 20 ) - 10}{2 \cdot 3}

x = \frac{- ( - 20 ) + 10}{2 \cdot 3} : 5

x = \frac{- ( - 20 ) - 10}{2 \cdot 3} : \frac{5}{3}

二次方程组的解是:

x = 5, x = \frac{5}{3}

作图

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