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?

Printable View

- February 12th 2010, 02:10 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? - February 12th 2010, 02:22 PMJhevon
- February 12th 2010, 03:26 PMTessarina
- February 12th 2010, 03:33 PMicemanfan
Substitute

into the equation

yielding ,

which can be solved using the quadratic formula. - February 12th 2010, 08:08 PMTessarina
- February 13th 2010, 05:19 AMGrandad