√x-2=4 √3x-2=x √5x+√14-x=8 x+1=√8-4x √x^2+x-2=2

Возведем уравнения в квадрат:

1) x - 2 = 4^2;

    x - 2 = 8;

    x = 10.

2) 3x - 2 = x^2;

    x^2 - 3x + 2 = 0;

    x12 = (3 +- √(9 - 4*2)) / 2 = (3 +- 1) / 2;

    x1 = 2; x2 = 1.

3)   5x + (14 - x) +2* √(5x) *√(14 - x) = 8;

    2* √(5x) *√(14 - x) = -(4x + 6)^2;

 10x *(14 -x) = 16x^2 + 48x + 36;

26x^2 - 92x + 36 = 0;

2x^2 - 7x + 3 =0;

x12 = (7 +- √49 - 24) / 4 = (7 +- 5) / 4;

x1 = 3; x2 = 1/2.

3)  x^2 + x - 2 = 4;

   x^2 + x - 6 = 0;

   x12 = (-1 +-  √(1 - 4 * (-6)) / 2 = (-1 +-5) / 2;

x1 = 2; x2 = -3.