Question

If a, ß are the roots of the equation x2 + px +p2 + = 0, then find the value of a² + ab + B2 +q.

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Answer 1

Answer:

Given quadratic equation is x

2

−px+q=0

For the quadratic equation ax

2

+x+c=0,

the sum of the roots is

a

−b

and product of the roots is

a

c

Here the roots of the given equation are a and b.

a

2

+b

2

=(a+b)

2

−2ab

=p

2

−2q