this question comes from the words problems
The sum of two intergers is 5.The difference between their squares is 45 determine the numbers
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2a=14 so a=7
System of non-linear equations: (two unknowns in two equations) Solve by iterative substitution.
b = 5-a
a2-(25-10a+a2) = 45
just a thought looking at the problem; what perfect square is close to 45 ? 49 !!!
49-45=4, another perfect square(2x2)
looking at 7 and 2, their sum is not 5, but 7 and -2 have a sum of 5
(7^2)-(-2)^2=49-4=45 and 7+(-2)=5