Solve \(\sqrt{2x - 4} - \sqrt{x + 5} = 1\)
sqrt (2x-4) = 1 + sqrt(x+5) square both sides
2x-4 = 1 + x + 5 + 2 sqrt(x+5) simplify
x -10 = 2 sqrt (x+5) square both sides
x^2 -20x+ 100 = 4x + 20 simplify
x^2 -24x+80 = 0 Factor ( or use quadratic formula)
(x-20)(x-4) = 0 x = 4 or 20
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