SOLUTION: what 2 numbers equal 10 when added together but, equal 100 when multiplied?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: what 2 numbers equal 10 when added together but, equal 100 when multiplied?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 994286: what 2 numbers equal 10 when added together but, equal 100 when multiplied?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28x%2By=10%2Cxy=100%29

y=10-x
-
x%2810-x%29=100
-x%5E2%2B10x-100=0
x%5E2-10x%2B100=0

Formula for general solution of a quadratic equation,
x=%2810%2B-+sqrt%2810%5E2-4%2A100%29%29%2F2
x=%2810%2B-+sqrt%28100-400%29%29%2F2
x=%2810%2B-+sqrt%28-300%29%29%2F2--------Complex but not Real Number.

No solution for this case.