SOLUTION: solve: square root of 4-5x, then add 1 = 2x. the answer is a fraction and I don't know why. Please help.

Algebra ->  Radicals -> SOLUTION: solve: square root of 4-5x, then add 1 = 2x. the answer is a fraction and I don't know why. Please help.      Log On


   

Question 384678: solve: square root of 4-5x, then add 1 = 2x. the answer is a fraction and I don't know why. Please help.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%284-5x%29%2B1=+2x
...
sqrt%284-5x%29=+2x-1
...
%28sqrt%284-5x%29%29%5E2=+%282x-1%29%5E2
...
4-5x=4x^2-4x+1
...
4x^2+5x-4x+1-4=0
4x^2+x-3=0
4x^2+4x-3x-3=0
4x(x+1)-3(x+1)=0
(4x-3)(x+1)=0
%28highlight%28x=3%2F4%29%29 satisfies the equation
..
m.ananth@hotmail.ca