x^2 - 10 = 5x + 14
X^2 - 5x -24= 0
D=b^2-4ac=25-4*1*(-24)=121
x1= (-b+ √D)/2a= (5+√121)/2=8
x2 = (-b- √D)/2a= (5-√121)/2=-3
ответ: 8, -3
За теоремой Виета
x1+x2= 5
x1*x2= -24
x1=8
x2=-3
x1 = 8; x2 = -3
Объяснение:
х^2 - 10 = 5х + 14
х^2 - 5х - 10 - 14 = 0
х^2 - 5х - 24 = 0
D = b^2 - 4ac
D = 5^2 - 4*1*(-24)
D = 25 +96
D = 121
sqrt(D) = sqrt(121) = 11
x1 = (-b + sqrt(D))/2a = (5 + 11)/2 = 16/2 = 8
x2 = (-b - sqrt(D))/2a = (5 - 11)/2 =
= -(6/2) = -3
