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If (\alpha) and (\beta) are zeroes of (x^2-3x-2), what is ((\alpha-\beta)^2)?

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Answer and explanation

Correct answer: (17)

((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=3^2-4(-2)=17). This method gives the answer without finding the zeroes.

Related tags

Zeroes-ExpressionSum-ProductIdentity

Frequently asked questions

What is the correct answer to this question?

(17)

Why is this the correct answer?

((\alpha-\beta)^2=(\alpha+\beta)^2-4\alpha\beta=3^2-4(-2)=17). This method gives the answer without finding the zeroes.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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