Question

Write the pair of integer in which multiplication is (-45) and difference is 12.​

Answer 1

Answer:

Step-by-step explanation:

Let the integers be x and y, such that x > y.

Given,

xy = 45             ↔(1)

x - y = 12

→ x = 12 + y       ↔(2)

By (2) in (1),

(12 + y)y = 45

⇒ 12y + y² = 45

⇒ y² + 12y - 45 = 0

⇒ y² - 3y + 15y - 45 = 0

⇒ y(y - 3) + 15(y - 3) = 0

⇒ (y + 15)(y - 3) = 0

⇒ y = -15, 3

When y = 15, x = -3

When y = 3, x = -15