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Class 10MathematicsPolynomialsIrrational numbers and real numbersExpertLevel 25
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If (p(x)=x^2+2\sqrt{7}x+6), what is the discriminant?

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Answer and explanation

Correct answer: (4)

(D=(2\sqrt{7})^2-4\cdot1\cdot6=28-24=4). Even with an irrational coefficient, the discriminant can be rational.

Related tags

DiscriminantIrrational-CoefficientQuadratic

Frequently asked questions

What is the correct answer to this question?

(4)

Why is this the correct answer?

(D=(2\sqrt{7})^2-4\cdot1\cdot6=28-24=4). Even with an irrational coefficient, the discriminant can be rational.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Polynomials. Topic: Irrational numbers and real numbers.

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  2. 2Which number is a rational number?
  3. 3All rational and irrational numbers together form which set?
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  6. 6What type of number is \(\sqrt{49}\)?
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