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If the Equation X2 − Ax + 1 = 0 Has Two Distinct Roots, Then - Mathematics

MCQ

If the equation x2 − ax + 1 = 0 has two distinct roots, then

Options

  • |a| = 2

  • |a| < 2

  • |a| > 2

  • None of these

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Solution

The given quadric equation is x2 − ax + 1 = 0 , and roots are distinct.

Then find the value of a.

Here, a =1,b = a and, c = 1

As we know that `D = b^2 - 4ac`

Putting the value of a =1,b = a and, c = 1

`=(a)^2 - 4 xx 1 xx 1`

` = a^2 - 4`

The given equation will have real and distinct roots, if D > 0

 `a^2-  4 > 0`

         `a^2 > 4`

          ` a > 4`

          `a > sqrt4`

            `> ± 2`

Therefore, the value of |a| > 2.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Q 2 | Page 83
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