Question

If alpha, beta are the roots of the equation 2x ^ 2 + x - 6 = 0 , then the equation whose roots ar * e ^ (1/a) * a * n * d ^ (1/beta)​

Answer 1

Answer:

Correct option is

C

4x

2

−49x+118=0

α+β=

2

3

And

α.β=−3

Therefore,

α

2

+β

2

=(α+β)

2

−2αβ

=

4

9

+6

=

4

33

Hence, the equation will be

x

2

−(

4

33

+4)x+(9+2(

4

33

+4)=0

4x

2

−49x+118=0.