SOLUTION: What two numbers have a sum of 22 and a product of 96?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: What two numbers have a sum of 22 and a product of 96?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 468806: What two numbers have a sum of 22 and a product of 96?
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Let x is the first number
Let y is the second number
A sum of two numbers is 22, then x%2By=22, a product of two numbers is 96, then xy=96
The system of the equations
system%28x%2By=22%2Cxy=96%29
From the first equation y=22-x
Substitute into the second equation
x%2822-x%29=96
22x-x%5E2-96=0
x%5E2-22x%2B96=0
x+=+%28-%28-22%29+%2B-+sqrt%28+%28-22%29%5E2-4%2A1%2A96+%29%29%2F%282%2A1%29+
x+=+%2822+%2B-+sqrt%28+100%29%29%2F2+
x1+=+%2822+%2B10%29%2F2+=16 or x2+=+%2822+-10%29%2F2+=6
y1=22-16=6 or y2=22-6=16
The numbers 16 and 6