If and , then is
Correct Answer :
7 + 3√5
Solution :
The correct option is D.
To find the value of given that and :
First, express in terms of lower powers of by squaring :
Expanding the right-hand side:
Substitute the given relation back into this expression:
Multiply by 2:
We can solve for the positive value of using the quadratic formula for :
Substituting this back into :
Access expert-curated educational resources and study materials—completely free.
Create, conduct, and manage professional online assessments with Mindyard. Perfect for teachers and institutes.
Copyright © 2026 Mindyard. All Rights Reserved.
