Question

x-y=5,x+y=15 find xy and x^2+y^2​

Answer 1

x²+y²=(x+y)²-2xy or, (x-y)²+2x

Given that, (x+y)=15 and (x-y)=5

So, 15²-2xy=5²+2xy

→225-25=2xy+2xy

→4xy=200

→xy=200/4=50

Hence, xy=50

Therefore, (x²+y²)=5²+2×50=125.

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