Question

he number of positive integral values of k for which (16x²+12x+39) +k(9x²-2x+11) is a perfect square is

Answer 1

see 
you can group the equation as a quadratic equation whose coefficients are in terms of k
for a perfect square of the equation...put the discriminant equals to zero
hope you would get a quadratic in k.
solve for k and take integral values as the answer.
hope it helps :)

Answer 2

Answer:

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