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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If (\alpha,\beta) are the roots of (x^2-3x-2=0), which equation has roots (\alpha^2,\beta^2)?

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Answer and explanation

Correct answer: (x^2-13x+4=0)

Here (\alpha+\beta=3) and (\alpha\beta=-2). Thus (\alpha^2+\beta^2=13) and (\alpha^2\beta^2=4), so the equation is (x^2-13x+4=0).

Related tags

Quadratic-RootsSquared-RootsNew-Equation

Frequently asked questions

What is the correct answer to this question?

(x^2-13x+4=0)

Why is this the correct answer?

Here (\alpha+\beta=3) and (\alpha\beta=-2). Thus (\alpha^2+\beta^2=13) and (\alpha^2\beta^2=4), so the equation is (x^2-13x+4=0).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Roots of a Quadratic Equation.

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