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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationMediumLevel 33
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If (4\alpha) and (4\beta) are new roots and (\alpha+\beta=3), what is the sum of the new roots?

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Answer and explanation

Correct answer: (12)

The sum of new roots is (4\alpha+4\beta=4(\alpha+\beta)=12). When roots are multiplied by a factor, the sum is also multiplied by that factor.

Related tags

RootsTransformed RootsSum

Frequently asked questions

What is the correct answer to this question?

(12)

Why is this the correct answer?

The sum of new roots is (4\alpha+4\beta=4(\alpha+\beta)=12). When roots are multiplied by a factor, the sum is also multiplied by that factor.

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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