Advertisement Remove all ads

In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root. - Mathematics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

In the quadratic equation kx2 − 6x − 1 = 0, determine the values of k for which the equation does not have any real root.

Advertisement Remove all ads

Solution

Given,

kx2 - 6x - 1 =0,

For no real roots, D<0

⇒ b2 - 4ac < 0

⇒ (-6)2 - 4(k)(-1) < 0

⇒ 36 + 4k < 0

⇒ k < -9

For all k < -9, the given quadratic equation does not have any real roots.

Concept: Nature of Roots
  Is there an error in this question or solution?
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×