SOLUTION: One number is 66 greater than another. The product of the numbers is 135135. Find the numbers.

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Question 1085109: One number is 66 greater than another. The product of the numbers is 135135. Find the numbers.
Found 2 solutions by math_helper, jorel1380:
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
+x%2A%28x%2B66%29+=+135135+
++x%5E2+%2B+66x+-+135135+=+0+
+x+=+%28+-66+%2B-+sqrt%2866%5E2+-+4%2A%281%29%28-135135%29+%29%29+%2F+2++
+x+=++-33+%2B-+sqrt%28544896%29%2F2++
+x+=+-33+%2B-+369.085356+
+x+=+336.085356+ and +x+=+-402.085356+
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So those are the 'x' values, each gets paired with 'x+66':
—
Solutions are ( 336.085356 and 402.085356 )
and ( -402.085356 and -336.085356 )

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the first number, and n+66 be the second. Then:
n(n+66)=135135
n²+66n-135135=0
Using the quadratic formula, we get a positive value for n of 336.085355982. ☺☺☺☺