sqrt(x+5)-sqrt(2x-7)=2

解答

x + 5 - 2 x - 7 = 2

x = 4

求解步骤

x + 5 - 2 x - 7 = 2

去除平方根

x^{2} - 16 x + 64 = 32 x - 112

解

x^{2} - 16 x + 64 = 32 x - 112 : x = 44, x = 4

x = 44, x = 4

验证解:

x = 44

假

, x = 4

真

解是

x = 4

3 x^{2} + 3 x - 2 + 2 x^{2} + 2 x - 3 = x^{2} + x + 1

so l v e f or x, x^{\frac{2}{3}} + y^{\frac{2}{3}} = a^{\frac{2}{3}}

x + 2 = 2 x + 1

x - 1 - 2 x + 1 = 0

(x - 2)^{\frac{2}{3}} + (x - 2)^{\frac{1}{3}} - 2 = 0