If the roots of (2x^2-5x+m=0) are (\alpha,\beta) and (\alpha^2+\beta^2=\frac{13}{4}), find (m).

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Answer and explanation

Correct answer: (3)

Here (\alpha+\beta=\frac{5}{2}) and (\alpha\beta=\frac{m}{2}). Using (\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta), we get (m=3).

What is the correct answer to this question?

(3)

Why is this the correct answer?

Here (\alpha+\beta=\frac{5}{2}) and (\alpha\beta=\frac{m}{2}). Using (\alpha^2+\beta^2=(\alpha+\beta)^2-2\alpha\beta), we get (m=3).

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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