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受欢迎的代数 >

(x-9)^2+(x+3)^2=10x+54

解答

(x - 9)^{2} + (x + 3)^{2} = 10 x + 54

解答

x = 9, x = 2

求解步骤

(x - 9)^{2} + (x + 3)^{2} = 10 x + 54

展开

(x - 9)^{2} + (x + 3)^{2} : 2 x^{2} - 12 x + 90

2 x^{2} - 12 x + 90 = 10 x + 54

将

54

para o lado esquerdo

2 x^{2} - 12 x + 36 = 10 x

将

10 x

para o lado esquerdo

2 x^{2} - 22 x + 36 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 22 ) \pm ( - 22 ) ^{2} - 4 \cdot 2 \cdot 36}{2 \cdot 2}

(- 22)^{2} - 4 \cdot 2 \cdot 36 = 14

x_{1, 2} = \frac{- ( - 22 ) \pm 14}{2 \cdot 2}

将解分隔开

x_{1} = \frac{- ( - 22 ) + 14}{2 \cdot 2}, x_{2} = \frac{- ( - 22 ) - 14}{2 \cdot 2}

x = \frac{- ( - 22 ) + 14}{2 \cdot 2} : 9

x = \frac{- ( - 22 ) - 14}{2 \cdot 2} : 2

二次方程组的解是:

x = 9, x = 2

作图

流行的例子

10 x^{2} - 100 = 0

5 y^{2} - 30 y - 18 = 0

4x^2-8x-294=-10

4 x^{2} - 8 x - 294 = - 10

0 = - 2 x^{2} - 2 x - 3

3 x^{2} + 9 x + 12 = 0