Question
If the equation x2+px+q=0 and x2+qx+p=0, have a common root, then p + q + 1 =
Answer: Option A
:
A
Letα is the common root, so α2+pα+q=0
and α2+qα+p=0
⇒ (p - q)α + (q - p) = 0 ⇒ α=1
Put the value ofα , p + q + 1 = 0
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:
A
Letα is the common root, so α2+pα+q=0
and α2+qα+p=0
⇒ (p - q)α + (q - p) = 0 ⇒ α=1
Put the value ofα , p + q + 1 = 0
Was this answer helpful ?
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