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受欢迎的代数 >

x+5=((x-7)^2)/2

解答

x + 5 = \frac{( x - 7 ) ^{2}}{2}

解答

x = 13, x = 3

求解步骤

x + 5 = \frac{( x - 7 ) ^{2}}{2}

在两边乘以

2

2 x + 10 = (x - 7)^{2}

展开

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

2 x + 10 = x^{2} - 14 x + 49

交换两边

x^{2} - 14 x + 49 = 2 x + 10

将

10

para o lado esquerdo

x^{2} - 14 x + 39 = 2 x

将

2 x

para o lado esquerdo

x^{2} - 16 x + 39 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 16 ) \pm ( - 16 ) ^{2} - 4 \cdot 1 \cdot 39}{2 \cdot 1}

(- 16)^{2} - 4 \cdot 1 \cdot 39 = 10

x_{1, 2} = \frac{- ( - 16 ) \pm 10}{2 \cdot 1}

将解分隔开

x_{1} = \frac{- ( - 16 ) + 10}{2 \cdot 1}, x_{2} = \frac{- ( - 16 ) - 10}{2 \cdot 1}

x = \frac{- ( - 16 ) + 10}{2 \cdot 1} : 13

x = \frac{- ( - 16 ) - 10}{2 \cdot 1} : 3

二次方程组的解是:

x = 13, x = 3

作图

流行的例子

0.1n^2+100n+8=1000

0.1 n^{2} + 100 n + 8 = 1000

-8x^2+48x+576=0

- 8 x^{2} + 48 x + 576 = 0

x^{2} + 82 x + 1681 = 0

因式分解 x^2+5x+2=-4

f a c t or x^{2} + 5 x + 2 = - 4

-x^2-5x+25=-2x^2+5x

- x^{2} - 5 x + 25 = - 2 x^{2} + 5 x