Question

Find the equation containing the seeds (1 / p + 1) and (1 / q + 1) if the seeds in the equation ax ^ 2 + bx + c = 0 are p and q.
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Answer 1

Given, p,q∈{1,2,3,4}.

For px

2

+qx+1=0 to have real roots,

D=b

2

−4ac≥0

or D=q

2

−4p≥0

q=2⇒p=1

q=3⇒p=1,2

q=4⇒p=1,2,3,4

Hence, 7 values of (p,q).

7 equations are possible.