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If the roots of (x^2-11x+30=0) are (\alpha) and (\beta), what is (\alpha^2+\beta^2)?
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Answer and explanation
Correct answer: (61)
(\alpha+\beta=11) and (\alpha\beta=30), so (\alpha^2+\beta^2=(11)^2-2(30)=61). In exams, remember the identity ((\alpha+\beta)^2-2\alpha\beta).
Frequently asked questions
What is the correct answer to this question?
(61)
Why is this the correct answer?
(\alpha+\beta=11) and (\alpha\beta=30), so (\alpha^2+\beta^2=(11)^2-2(30)=61). In exams, remember the identity ((\alpha+\beta)^2-2\alpha\beta).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Methods of Solving Quadratic Equations.
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