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受欢迎的代数 >

(10x^2-5x+8)/(5x^2+9x-19)=2

解答

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

解答

x = 2

求解步骤

\frac{10 x ^{2} - 5 x + 8}{5 x ^{2} + 9 x - 19} = 2

在两边乘以

5 x^{2} + 9 x - 19

10 x^{2} - 5 x + 8 = 2 (5 x^{2} + 9 x - 19)

展开

2 (5 x^{2} + 9 x - 19) : 10 x^{2} + 18 x - 38

10 x^{2} - 5 x + 8 = 10 x^{2} + 18 x - 38

将

8

到右边

10 x^{2} - 5 x = 10 x^{2} + 18 x - 46

两边减去

10 x^{2} + 18 x

10 x^{2} - 5 x - (10 x^{2} + 18 x) = 10 x^{2} + 18 x - 46 - (10 x^{2} + 18 x)

化简

- 23 x = - 46

两边除以

- 23

x = 2

验证解

找到无定义的点（奇点）:

x = \frac{- 9 + 461}{10}, x = \frac{- 9 - 461}{10}

将不在定义域的点与解相综合:

x = 2

作图

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