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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If (2x^2+kx+2=0) has equal and negative roots, what is (k)?

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Answer and explanation

Correct answer: (4)

For equal roots, (k^2-16=0), so (k=\pm4). The equal root is (-\frac{k}{4}), which is negative only when (k=4).

Related tags

Quadratic-RootsEqual-Negative-RootsParameter

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

For equal roots, (k^2-16=0), so (k=\pm4). The equal root is (-\frac{k}{4}), which is negative only when (k=4).

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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