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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationMediumLevel 32
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If the sum of the roots of a monic quadratic equation is 5 and their product is 6, which of the following equations can have those roots?

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Answer and explanation

Correct answer: \(x^2-5x+6=0\)

For a monic quadratic with root sum \(S\) and product \(P\), the equation is \(x^2-Sx+P=0\). Substituting \(S=5\) and \(P=6\) gives option A. Option B has root sum \(-5\). Exam tip: check the sign of the middle term carefully.

Related tags

Quadratic EquationsRoots Of QuadraticSum And Product Of RootsMonic QuadraticClass 10 Mathematics

Frequently asked questions

What is the correct answer to this question?

\(x^2-5x+6=0\)

Why is this the correct answer?

For a monic quadratic with root sum \(S\) and product \(P\), the equation is \(x^2-Sx+P=0\). Substituting \(S=5\) and \(P=6\) gives option A. Option B has root sum \(-5\). Exam tip: check the sign of the middle term carefully.

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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