Question

X во второй степени -12х + 20

Answer 1

Х^2-12х+20=(x-10)(x-2)

D=144-80=64

X1=(12+8)/2=20/2=10

X2=(12-8)/2=4/2=2

ax^2+bx+c=a(x-x1)(x-x2)

Answer 2

Решение:

x² - 12x + 20 = 0

Применим теорему Виета:

x² + px + q = 0

x₁ + x₂ = - p

x₁ * x₂ = q

x₁ =  2

x₂ = 10

x₁ + x₂ = - p

2 + 10 = - p

12 = - p

p = - 12

x₁ * x₂ = q

2 * 10 = q

q = 20

x² - 12x + 20 = (x - 2)*(x - 10)