CBSE Class 10CBSE
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

If the Equation X2 − Ax + 1 = 0 Has Two Distinct Roots, Then - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

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

  • |a| = 2

  • |a| < 2

  • |a| > 2

  • None of these

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?

APPEARS IN

Solution If the Equation X2 − Ax + 1 = 0 Has Two Distinct Roots, Then Concept: Solutions of Quadratic Equations by Factorization.
S
View in app×