SOLUTION: If ab=10 and {{{a^2 + b^2 = 30}}}, then solve for y in {{{y=(a+b)^2}}}.
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Question 607958: If ab=10 and , then solve for y in .
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
To better understand the solution to this, let's go ahead and multiply out the right side:
So we are supposed to figure out y from ab=10 and . If we multiply both sides of ab=10 by 2 we can get a value for the middle term of :
2ab = 20
Now if we add that equation to the other one we match the full expression:
+
____________
So y equals 50! (And we know this without ever knowing what "a" or "b" are!)
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