SOLUTION: A positive real number is 4 more than another. If the sum of the squares of the two numbers is 64, find the numbers.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: A positive real number is 4 more than another. If the sum of the squares of the two numbers is 64, find the numbers.      Log On


   

Question 1110444: A positive real number is 4 more than another. If the sum of the squares of the two numbers is 64, find the numbers.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+x%5E2+%2B+%28x%2B4%29%5E2+=+64+
++x%5E2+%2B+%28x%5E2+%2B+8x+%2B+16%29+=+64+
Continuing on, you will reach a point where you need to complete the square,
then solving for x:
+highlight%28++x=2%28sqrt%287%29%29+-+2+%29+ +highlight%28+x%2B4+=+2%28sqrt%287%29%29%2B2+%29+
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Check: (ok)