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Class 10MathematicsQuadratic EquationsNature of RootsMediumLevel 37
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What is the nature of roots of (x^2-3x+1=0)?

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Answer and explanation

Correct answer: Real distinct and irrational ((D=5))

Here (D=9-4=5), which is positive but not a perfect square. So roots are real distinct and irrational.

Related tags

Quadratic-EquationsIrrational-RootsDiscriminant

Frequently asked questions

What is the correct answer to this question?

Real distinct and irrational ((D=5))

Why is this the correct answer?

Here (D=9-4=5), which is positive but not a perfect square. So roots are real distinct and irrational.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Quadratic Equations. Topic: Nature of Roots.

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10 more MCQs
  1. 1If the discriminant D > 0 for a quadratic equation, what will be the nature of its roots?
  2. 2What is the discriminant D of 4x² + 4x + 1 = 0?
  3. 3What is the nature of the roots of x² + 6x + 9 = 0?
  4. 4If the roots of x² − 6x + k = 0 are equal, what is k?
  5. 5If the discriminant D = 49, what is the nature of the roots of the quadratic equation?
  6. 6If (D=64), what will be the nature of roots of the quadratic equation?
  7. 7Which equation has discriminant −15?
  8. 8If one root of x² + ax + 12 = 0 is 3, what are the other root and a?
  9. 9Which equation has discriminant −11?
  10. 10What is the nature of the roots of 4x² − 12x + 9 = 0?
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