Question

If a+b=p and ab=p, then find the value of p. (Where a and b are positive integers.)
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Answer 1

a+b=p

Now (a-b)^2=(a+b)^2 -4ab

=>(a-b)^2= p^2 - 4p

=>(a-b)^2=p(1–4p)

=>a-b= sqroot {p(1–4p)}

a+b=p and a-b= sqroot {p(1–4p)}

So adding both the equation we get value of a and b..