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Solve the equation sqrt(5x - 1) = sqrt(x) + 1.

 May 24, 2020
 #1
avatar+37146 
+1

Solve the equation sqrt(5x - 1) = sqrt(x) + 1.        square both sides

 

5x-1 = x + 2 sqrtx  + 1

4x -2 = 2 sqrtx

16x^2 - 16x +4= 4x

16x^2- 20x+4 =0             Quadratic formula     shows   x = 1   or  1/4    (throw out 1/4)

 May 24, 2020
 #2
avatar+131 
+3

Hats of to you!

 May 24, 2020

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