Question

The sum of two integars is -11 and their product is ,-80. What are the two integars​

Answer 1

Given:-

• The sum of two integers → -11
• The product of two integers → -80

To find:-

• Those integers

† Let one of those integers be x .

So, other one → (-11- x )

Now, their product = x (-11 - x)

→ -80 = x (-11 - x)

→ -80 = -11x - x²

→ x² + 11x - 80 = 0

→ x² + 16x - 5x - 80 = 0

→ x (x + 16) - 5 ( x + 16) = 0

→ ( x - 5 ) (x + 16 ) = 0

→ x - 5 = 0

or x + 16 = 0

→ x = 5

or x = -16

If x = 5 ,

★ Then the two integers are 5 and (-11-5) = - 16.

If x = -16

★ Then the two integers are -16 and {-11-(-16)}=5.

Hence,

‡ The integers are ☞ 5 and -16