SOLUTION: if the difference of two numbers is 10 and their product is 18,what is the sum of their squares?

Question 56793: if the difference of two numbers is 10 and their product is 18,what is the sum of their squares?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If the difference of two numbers is 10, and their product is 18, what is the sum of their squares?
:
"if the difference of two numbers is 10"
x - y = 10
:
"their product is 18
x*y = 18
:
FInd the numbers, worry about the sum of their squares later:
From the 1st equation:
x = y + 10
:
Substitute (y+10) in the 2nd equation:
(y+10) * y = 18
y^2 + 10y - 18;
:
No integer solution: Using quadratic formula, the positive solution:
y = + 1.557438524
Then
x = 11.557438524
:
On a good calculator: 1.557438524^2 + 11.557438524^2 = 136
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