SSC CPO SI and ASI Model Paper 6

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Question : 136 of 200

Marks: +1, -0

For what value of k will

p^4 + k + 18p^2

be a perfect square?

3
81
1
$√ 3$

Solution:

(2)

(p^2)2+ k + 2 (9) p^2If k = 9^2;

(p^2)^2+ (9)^2 + 2 (9) p^2 = (p^2 + 9)^2

Therefore, for

k = 9^2 = 81, p^4 + k +18p^2

will be a perfect square.

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