# If the Equation X2 + 4x + K = 0 Has Real and Distinct Roots, Then - Mathematics

MCQ

If the equation x2 + 4x + k = 0 has real and distinct roots, then

• k < 4

• k > 4

• k ≥ 4

• k ≤ 4

#### Solution

The given quadric equation is x2 + 4x + k = 0, and roots are real and distinct.

Then find the value of k.

Here, a = 1, b = 4 and , c = k

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

Putting the value of  a = 1, b = 4 and , c = k

 (4)^2 - 4 xx 1 xx k

= 16 - 4k

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

16 - 4k > 0

4k < 16

 k< 16/4

< 4

Therefore, the value of  k < 4 .

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 10 Maths