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1 solution
√(2x-4) - √(x+5) = 1 √(2x-4) = 1+√(x+5) Squaring both side 2x-4 = (1+√(x+5))^2 2x-4 = 1+x+5+2√(x+5) x-10 = 2√(x+5) Squaring both side (x-10)^2 = 4(x+5) x^2 +100-20x = 4x+20 x^2-24x+80=0 (x^2-20x)-(4x-80) x(x-20)-4(x-20) (x-20)(x-4) x=20 ,4 As we put x = 4 in the given equation the answer is -1 So x≠4 Hence x=20