Question

0,5x^2 - 3x +4 = 0
3x^2 - 6x - 9 = 0
решите два уравнения, пожалуйста

Answer 1

$0.5 {x}^{2} - 3x + 4 = 0 \ d = 9 - 4 times 0.5 times 4 = 1 \ x = frac{3 + - 1}{2 times 0.5} \ x1 = 4 \ x2 = 2$

Answer 2

0,5x^2 – 3x + 4 = 0
D = b^2 – 4 * a * c = (– 3)^2 – 4 *  0.5 * 4 = 9  – 8 = 1
x1 = (–b + корень из D) / (2 * a) = (3 + 1) / (2 * 0.5) = 4 / 1 = 4
x2 = (–b – корень из D) / (2 * a) = (3 – 1) / (2 * 0.5) = 2 / 1 = 2
Ответ: 4; 2
 
3x^2 – 6x –9 = 0
D =  (– 6)^2 – 4 * 3 * (– 9) = 36 + 108 = 144
x1 = (6 + 12) / (2 * 3) = 18 / 6 = 3
x2 = (6 – 12) / (2 * 3) = (– 6) / 6 = -1
Ответ: 3; –1