Question

if sum of roots of equation x²+px+q=0 is equal to sum of their squares then,
(a)p²-q²=0
(b)p²+q²=2q
(c)p²+p=2q
(d)none of these

plssss ans!!!!​

Answer 1

The sum of roots of equation x^2+px+q=0 is equal to sum of their squares, then prove that: p(p+1)=2q.

Answer 2

Answer:

Let a and b be the roots of the equation x2 + px + q = 0Then, a + b = -p, ab= q.

According to the question,

a + b = a2 + b2

⇒ a + b= (a + b)2 - 2ab

⇒ -p = p2 - 2q

⇒ p2 + p = 2q

(c) is the answer

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