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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If (\alpha) and (\beta) are roots of (x^2-Sx+P=0), what is ((\alpha-\beta)^2) equal to?

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Answer and explanation

Correct answer: (S^2-4P)

Here the sum of roots is (S) and product is (P). Therefore ((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=S^2-4P).

Related tags

RootsGeneral IdentityDifference

Frequently asked questions

What is the correct answer to this question?

(S^2-4P)

Why is this the correct answer?

Here the sum of roots is (S) and product is (P). Therefore ((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=S^2-4P).

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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