If
a)
b)
c)
d)
Hint: For the given quadratic equation first find the sum of roots (
Complete step by step answer:
It is given that
So using the concept of sum of roots
Comparing equation (1) with standard form of quadratic equation i.e.
Now we have to find equation with roots
So firstly lets calculate
Lets simplify the numerator part,
Now substituting the values of
We have
Now in the similar way we will be computing the value of
Again substituting the values of
Now using the concept that we can write a quadratic equation using some of roots and products of roots which is
Hence the equation having roots
On simplification we get
Hence option (a) is the right answer.
Note - In such types of problems always use the concept of sum of roots and product of roots and use this to obtain the quadratic equation.