Ответ:
1) x1= -2
x2 = 1.5
2) x1=-2
x2= 12
Объяснение:
1) 2x² + x - 6 = 0
D = b2 - 4ac = 12 - 4·2·(-6) = 1 + 48 = 49
x1= -1 - √49/ 2·2 = -1 - 7/ 4 = -8/ 4 = -2
x2 = -1 + √49 /2·2 = -1 + 7 /4 = 6/ 4 = 1.5
2) x²-10x-24=0
D = b2 - 4ac = (-10)2 - 4·1·(-24) = 100 + 96 = 196
x1 = 10 - √196/ 2·1 = 10 - 14/ 2 = -4 /2 = -2
x2 = 10 + √196/ 2·1 = 10 + 14 /2 = 24/ 2 = 12