QUADRATIC EQUATIONS

asked Nov 8, 2016 in Algebra 1 Answers by anonymous

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1 Answer

Integers a and b: a-b=4 and a^2-b^2=72.

so b=a-4 and a^2-(a-4)^2=72.

(a-a+4)(a+a-4)=72

4(2a-4)=72

2a-4=18

a-2=9 so a=11 and b=11-4=7.

Difference 11-7=4 and 121-49=72. The integers are 11 and 7.
answered Nov 8, 2016 by Rod Top Rated User (429,280 points)
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