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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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For (kx^2+6x+9=0) to have real roots with (k\ne0), which condition on (k) is correct?

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Answer and explanation

Correct answer: (k\le 1,\ k\ne0)

For real roots, (D=36-36k\ge0) is required. Thus (k\le1), and (k\ne0) is also needed for a quadratic equation.

Related tags

Quadratic-RootsReal-RootsParameter-Condition

Frequently asked questions

What is the correct answer to this question?

(k\le 1,\ k\ne0)

Why is this the correct answer?

For real roots, (D=36-36k\ge0) is required. Thus (k\le1), and (k\ne0) is also needed for a quadratic equation.

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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