the sum of two numbers is -17. their product is 66. Find the numbers. HINT: if x is one number,then the other is -17-x

Question

 We have to find both of the numbers 

Answer 1

If the sum of the two numbers is -17 and product of the same numbers is 66, then we can set up the quadratic expression

 

x² - 17x + 66

 

 

Now just factor this expression using FOIL.

 

(x - 11)(x - 6)

 

 

Then the two numbers are  -11 and -6.