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Class 10MathematicsQuadratic EquationsNature of RootsHardLevel 39
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How many times will the graph of (x^2-5x+4=0) cut the (x)-axis?

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Answer and explanation

Correct answer: (2) times

Here (D=(-5)^2-4\cdot1\cdot4=9), so there are two distinct real roots. In exams, (D>0) means two cuts with the (x)-axis.

Related tags

Quadratic EquationsNature Of RootsGraphical

Frequently asked questions

What is the correct answer to this question?

(2) times

Why is this the correct answer?

Here (D=(-5)^2-4\cdot1\cdot4=9), so there are two distinct real roots. In exams, (D>0) means two cuts with the (x)-axis.

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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  3. 3If the discriminant D > 0 for a quadratic equation, what will be the nature of its roots?
  4. 4What is the discriminant D of 4x² + 4x + 1 = 0?
  5. 5What is the nature of the roots of x² + 6x + 9 = 0?
  6. 6If the roots of x² − 6x + k = 0 are equal, what is k?
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  8. 8If D = 64, what will be the nature of the roots of the quadratic equation?
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