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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Question 41105
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Write a quadritic equation such that the sum of the roots is 6 and the product of the roots is -11.
Answer by
psbhowmick(878)
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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
.
