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Class 10MathematicsQuadratic EquationsRoots of a Quadratic EquationHardLevel 33
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If the roots of a quadratic equation are (2+\sqrt{5}) and (2-\sqrt{5}), which is the equation?

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Answer and explanation

Correct answer: (x^2-4x-1=0)

The sum of roots is (4) and the product is (-1). Use (x^2-(\text{sum})x+\text{product}=0) to get the answer.

Related tags

Quadratic-RootsForming-EquationSurd-Roots

Frequently asked questions

What is the correct answer to this question?

(x^2-4x-1=0)

Why is this the correct answer?

The sum of roots is (4) and the product is (-1). Use (x^2-(\text{sum})x+\text{product}=0) to get the answer.

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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