2x52 3xx2 x What is the solution setSolution2x52 3xx2 x
2x+5/2 - 3x/x-2 = x
What is the solution set?
Solution
(2x+5)/2 - 3x/x-2 = x
Taking 2(x-2) as common denominator on LHS:
{(2x+5)(x-2) -3x*2}/(2(x -2) = x
( 2x^2 -4x +5x -10 - 6x) = 2x(x-2)
(2x^2 +x -10 ) = 2x^2 -4x
2x^2 gets cancelled on both sides
5x = 10
divide both sides by5
x=2 ( Solution)
