CBSE Class 10CBSE
Share
Notifications

View all notifications

In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 - 5x - K = 0 - CBSE Class 10 - Mathematics

Login
Create free account


      Forgot password?

Question

In the following determine the set of values of k for which the given quadratic equation has real roots:

2x2 - 5x - k = 0

Solution

The given quadric equation is 2x2 - 5x - k = 0, and roots are real

Then find the value of k.

Here, a = 2, b = -5 and c = k

As we know that D = b2 - 4ac

Putting the value of a = 2, b = -5 and c = k

= (-5)2 - 4 x (2) x (-k)

= 25 + 8k

The given equation will have real roots, if D ≥ 0

25 + 8k ≥ 0

8k ≥ -25

k ≥ -25/8

Therefore, the value of k ≥ -25/8.

  Is there an error in this question or solution?

APPEARS IN

Solution In the Following Determine the Set of Values of K for Which the Given Quadratic Equation Has Real Roots: 2x2 - 5x - K = 0 Concept: Nature of Roots.
S
View in app×