Question

корень из 2 х-1+ корень из х-2= корень из х+1

Answer 1

$sqrt{2x - 1} + sqrt{x-2} = sqrt{x+1} -3 + 3x + 2 sqrt{2x^2 - 5x + 2} = x + 1 2 sqrt{2x^2 - 5x + 2} = 4 - 2x 4(2x^2 - 5x + 2) = (4 - 2x)^2 8x^2 - 20x + 8 = (4 - 2x)^2 8x^2 - 20x + 8 = 4x^2 - 16x + 16 4x^2 - 4x - 8 =0 4(x - 2)(x + 1) = 0 (x - 2)(x + 1) = 0 x = 2 ; x = -1 x = 2$