Question

4Xквадрат +6x-2=(x-1)квадрат

Answer 1

4x^2 + 6x - 2 = (x-1)^2;

4x^2 + 6x -2 = x^2 - 2x +1;

4x^2 - x^2 +6x + 2x - 2 -1 = 0;

3x^2 + 8x -3 = 0;

D=64 - 4 * 3 * (-3) = 64 - 12 * (-3) = 64 + 36 = 100 = 10^2 > 0;

 

 x 1 = (-8 - 10) / 6 = -18 / 6 = -3;

 x2 =  (-8 + 10) / 6 = 2 / 6 = 1/3;

 

Ответ : -3  и 1/3.