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受欢迎的代数 >

sqrt(x+5)+sqrt(x-2)=sqrt(5x-6)

解答

x + 5 + x - 2 = 5 x - 6

解答

x = 11

求解步骤

x + 5 + x - 2 = 5 x - 6

去除平方根

4 x^{2} + 12 x - 40 = 9 x^{2} - 54 x + 81

解

4 x^{2} + 12 x - 40 = 9 x^{2} - 54 x + 81 : x = \frac{11}{5}, x = 11

x = \frac{11}{5}, x = 11

验证解:

x = \frac{11}{5}

假

, x = 11

真

解是

x = 11

作图

流行的例子

-x+(3x-11)^{1/2}=-3

- x + (3 x - 11)^{\frac{1}{2}} = - 3

x^{1/2}-7x^{1/4}+12=0

x^{\frac{1}{2}} - 7 x^{\frac{1}{4}} + 12 = 0

1-1/3 x^{-2/3}=0

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

solvefor y,5sqrt(xy)-2sqrt(y)-3sqrt(x)=0

so l v e f or y, 5 x y - 2 y - 3 x = 0

\frac{2}{3} x^{- \frac{1}{3}} = 1