Quadratic EquationHard
Question
If p and q are the roots of the equation x2 + px + q = 0, then
Options
A.p = 1, q = -2
B.p = 0, q = 1
C.p = - 2, q = 0
D.p = - 2, q = 1
Solution
p + q = - p and pq = q ⇒ q(p - 1) = 0 ⇒ q = 0 or p = 1
If q = 0, then p = 0. i.e. p = q ∴ p = 1 and q = - 2
If q = 0, then p = 0. i.e. p = q ∴ p = 1 and q = - 2
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