Question 308324
{{{sqrt(3x+4) - sqrt(2x-4) =2}}}
{{{sqrt(3x+4) = sqrt(2x-4) + 2}}}
Square both sides
{{{3x+4 = (2x-4) + 4sqrt(2x-4) + 4 = 2x + 4sqrt(2x-4)}}}
{{{x+4 = 4sqrt(2x-4)}}}
Square again
{{{x^2 + 8x + 16 = 16(2x-4) = 32x - 64}}}
{{{x^2 - 24x + 80 = 0}}}
(x-4)(x-20) = 0
x = 4
x = 20