SOLUTION: If the sum of two numbers is 19 and their product is 90, what is the sum of their squares? sum of two number is 9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: If the sum of two numbers is 19 and their product is 90, what is the sum of their squares? sum of two number is 9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181      Log On


   

Question 226612: If the sum of two numbers is 19 and their product is 90, what is the sum of their squares?
sum of two number is 9 + 10 = 19
product is 9 x 10 = 90
9^2 + 10^2 = 181
Found 2 solutions by Edwin McCravy, 3788:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
If the sum of two numbers is 19 and their product is 90, what is the sum of their squares?

system%28x%2By=19%2Cxy=90%29

Square both sides of the first equation:

x%5E2%2B2xy%2By%5E2=361

Since xy=90, replace xy by 90 in

x%5E2%2B2xy%2By%5E2=361
x%5E2%2B2%2890%29%2By%5E2=361
x%5E2%2B180%2By%5E2=361

Subtract 180 from both sides

x%5E2%2By%5E2=181

Edwin

Answer by 3788(5) About Me  (Show Source):