Two integers differ by 12 and the sum of their squares is 74. Find the integers.

The answers are : -7 and 5 or 7 and -5.

Could you please show me how to work this problem out?

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- Feb 12th 2010, 01:10 PMTessarinaProblem solving with Quadratics
Two integers differ by 12 and the sum of their squares is 74. Find the integers.

The answers are : -7 and 5 or 7 and -5.

Could you please show me how to work this problem out? - Feb 12th 2010, 01:22 PMJhevon
- Feb 12th 2010, 02:26 PMTessarina
- Feb 12th 2010, 02:33 PMicemanfan
Substitute

into the equation

yielding ,

which can be solved using the quadratic formula. - Feb 12th 2010, 07:08 PMTessarina
- Feb 13th 2010, 04:19 AMGrandad