Question

p_root q equal 4 + root 2 by 4-root 2 then p,q is​

Answer 1

Explanation:

ANSWER

In given question p, q ∈ R.

If we take other root as any real number α, then quadratic equation will be

x

2

−(α+2−

3

)x+α⋅(2−

3

)=0

Now, we can have none or any of the options can be correct depending upon

′

α

′

Instead of p, q ∈ R it should be p, q ∈ Q then other root will be 2+

3

⇒p=−(2+

3

−2−

3

)=−4

and q=(2+

3

)(2−

3

)=1

⇒p

2

−4q−12=(−4)

2

−4−12

=16−16=0

Option (2) is correct.