SOLUTION: please help me solve this equation Two positive integers differ by 6. their product is 616 find the integers

Algebra ->  Equations -> SOLUTION: please help me solve this equation Two positive integers differ by 6. their product is 616 find the integers      Log On


   

Question 1174977: please help me solve this equation
Two positive integers differ by 6. their product is 616 find the integers
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let the smaller integer be x; then the greater integer is (x+6).


Then you write the condition for the product


    x*(x+6) = 616,

or

    x^2 + 6x - 616 = 0.


Use the quadratic formula to solve this quadratic equation.


ANSWER.  The numbers are 22 and 28.

Solved.