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If in \(2x^2+kx+18=0\), the product of roots is (-3) times the sum of roots, what is (k)?

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Answer and explanation

Correct answer: (6)

The product is (9) and the sum is \(-\frac{k}{2}\). From \(9=-3\left(-\frac{k}{2}\right)\), we get \(k=6\).

Related tags

Quadratic-EquationsRootsParameterHard

Frequently asked questions

What is the correct answer to this question?

(6)

Why is this the correct answer?

The product is (9) and the sum is \(-\frac{k}{2}\). From \(9=-3\left(-\frac{k}{2}\right)\), we get \(k=6\).

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Introduction to Quadratic Equations.

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