Question

The sum of the roots of the equation x2 + px + q = 0 is equal to the sum of their squares,
then
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Answer 1

Step-by-step explanation:

as per question

Let a & b are the roots

Now

a + b= -P & a x b = q

given that

a+b= a^2+ b^2

⇒ a + b = (a + b)^2 -2ab

⇒ -P = (-P)^2 -2q

⇒ -P = P^2 -2q

⇒ P^2 + P - 2q = 0