0 reads0 ratings0 helpful
If (\alpha=2+\sqrt{7}) and (\beta=2-\sqrt{7}), what is (\alpha^2+\beta^2)?
Advertisement
Answer and explanation
Correct answer: (22)
(\alpha+\beta=4) and (\alpha\beta=4-7=-3). Thus (\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta=16+6=22).
Frequently asked questions
What is the correct answer to this question?
(22)
Why is this the correct answer?
(\alpha+\beta=4) and (\alpha\beta=4-7=-3). Thus (\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta=16+6=22).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
Advertisement