Question

Розкладіть на множники квадратний тричлен на множники​

Answer 1

1) х² - х - 12 = 0
D = 1 - 4•(-12) = 1 + 48 = 49
√D = √49 = 7
x1 = (1+7)/2 = 8/2 = 4
x2 = (1-7)/2 = -6/2 = -3

х² - х - 12 = (x-4)(x+3)

Ответ: (x-4)(x+3)



2) -х² +2х + 35 = 0
-(х² - 2х - 35) = 0
х² - 2х - 35 = 0
D = 2² - 4•(-35) = 4 + 140 = 144
√D = √144 = 12
x1 = (2+12)/2 = 14/2 = 7
x2 = (2-12)/2 = -10/2 = -5

-х² +2х + 35 = -(х² - 2х - 35) = -(x-7)(x+5)

Ответ: -(x-7)(x+5)