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受欢迎的代数 >

(-2sqrt(x+1))/(9-(x-1))=1

解答

\frac{- 2 x + 1}{9 - ( x - 1 )} = 1

解答

x = 4 (3 + 3)

+1

十进制

x = 18.92820 \dots

求解步骤

\frac{- 2 x + 1}{9 - ( x - 1 )} = 1

在两边乘以

9 - (x - 1)

\frac{- 2 x + 1}{9 - ( x - 1 )} (9 - (x - 1)) = 1 \cdot (9 - (x - 1))

化简

- 2 x + 1 = 9 - (x - 1)

展开

9 - (x - 1) : - x + 10

- 2 x + 1 = - x + 10

两边进行平方:

4 x + 4 = x^{2} - 20 x + 100

4 x + 4 = x^{2} - 20 x + 100

解

4 x + 4 = x^{2} - 20 x + 100 : x = 4 (3 + 3), x = 4 (3 - 3)

x = 4 (3 + 3), x = 4 (3 - 3)

验证解:

x = 4 (3 + 3)

真

, x = 4 (3 - 3)

假

解是

x = 4 (3 + 3)

作图

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