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If p ,q in {1,2,3,4,5} , then find the n...

If `p ,q in {1,2,3,4,5}` , then find the number of equations of form `p^2x^2+q^2x+1=0` having real roots.

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The correct Answer is:
16 equations.
`because D = q^(4) - 4p^(2) gen 0`
`=(q^(2) + 2p)(q^(2) - 2p) ge 0`
`rArr q^(2) ge 2p`
If p = 1, then q = 2, 3, 4, ,5
p = 2, then q = 2, 3, 4, ,5
p = 3, then q = 3, 4, ,5
p = 4, then q = 3, 4, ,5
p = 5, then q = 4, ,5
So, number of possible equation is 16
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