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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If the sum of roots is (6) and the sum of their squares is (52), what is the product of roots?

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Answer and explanation

Correct answer: (-8)

(\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta). From (52=36-2\alpha\beta), we get (\alpha\beta=-8).

Related tags

RootsIdentityProduct

Frequently asked questions

What is the correct answer to this question?

(-8)

Why is this the correct answer?

(\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta). From (52=36-2\alpha\beta), we get (\alpha\beta=-8).

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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  1. 1If α is a root of p(x) = 0, which statement is correct?
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  5. 5Which quadratic equation has roots x = 2 and x = 7?
  6. 6If x = −5 and x = 2 are roots, what is the sum of the roots?
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