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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 32
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If (\alpha) and (\beta) are roots of (x^2-9x+20=0), what is the value of ((\alpha-\beta)^2)?

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Answer and explanation

Correct answer: (1)

((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=81-80=1). This identity is quick for difference questions.

Related tags

RootsDifference Of RootsIdentity

Frequently asked questions

What is the correct answer to this question?

(1)

Why is this the correct answer?

((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=81-80=1). This identity is quick for difference questions.

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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