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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 31
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If the product of roots of (3x^2-2x+k=0) equals the sum of roots, what is (k)?

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Answer and explanation

Correct answer: (2)

The sum is (-\frac{b}{a}=\frac{2}{3}) and the product is (\frac{k}{3}). From (\frac{k}{3}=\frac{2}{3}), (k=2).

Related tags

RootsSum Equals ProductParameter

Frequently asked questions

What is the correct answer to this question?

(2)

Why is this the correct answer?

The sum is (-\frac{b}{a}=\frac{2}{3}) and the product is (\frac{k}{3}). From (\frac{k}{3}=\frac{2}{3}), (k=2).

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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