1)(x-1)(2x+3)=-2 помогите пожалуйста 2)x^2+7/2=4x

1) (x - 1)(2x + 3) = - 2;

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

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

2x^2 + x - 1 = 0;

D = b^2 - 4ac;

D = 1^2 - 4 * 2 * (- 1) = 1 + 8 = 9; D = 3;

x = (- b D)/(2a);

x1 = (- 1 + 3)/(2 * 2) = 2/4 = 1/2 = 0,5;

x2 = (- 1 - 3)/(2 * 2) = - 4/4 = - 1.

Ответ. -1; 0,5.

2) x^2 + 7/2 = 4x;

x^2 + 3,5 = 4x;

x^2 - 4x + 3,5 = 0;

D = b^2 - 4ac;

D = (- 4)^2 - 4 * 1 * 3,5 = 16 - 14 = 2; D = 2

x = (- b D)/(2a);

x = (4 2)/2 = 2 2/2 = 2 0,52;

x1 = 2 + 0,52;

x2 = 2 - 0,52.

Ответ. 2 + 0,52; 2 - 0,52.