Question

write a pair of integer qhere the multiplication is (-45) and tje difference is 12​

Answer 1

ATQ,

x y = 45

x - y = 12

Equation 1:

x y = 45

x = 45/y -------- (i)

Equation 2:

x - y = 12

x = 12 + y -------(ii)

Combine eq1 & eq2

= 45/y = 12 + y

= 45 = 12y+ y²

= 45 - 12y - y² = 0

= -y² - 12y + 45 = 0

= - y² - 15y + 3y + 45 = 0

= - y(y + 15) +3( y + 15) = 0

= ( y + 15 ) ( y - 3)

Now,

• y = -15
• y = 3

Put the value of both y in equation 1

→ y = -15

= x = 45/y

= x = 45/-15

= x = -3

→ y = 3

= x = 45/y

= x = 45/3

= x = 15

Therefore, the value of x and y are:

• x = -3, 15
• y = -15, 3