SOLUTION: Write a quadritic equation such that the sum of the roots is 6 and the product of the roots is -11.

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A general form of quadritic equation is: ______(1).
Let the roots of this equation be A and B.

[A quadritic equation has two roots. Try to prove this proposition.]

Then, sum of the roots:
and product of the roots:

Thus in our case i.e. b = -6a
and i.e. c = -11a
Substituting these values of b & c in (1) we have

or
or

Thus the reqd. equation is .