If $4 x^{2} + 4 + k x = 0$ has equal roots, then $k$ is equal to

\pm 8

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\pm 4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\pm 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\pm 16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\pm 8$
$4 x^{2} + k x + 4 = 0$
Equal roots condition is $k^{2} - 4 (4) (4) = 0$
$k^{2} = 64 k = \pm 8$

Suggest Corrections

Similar questions

Find k, if the equation kx²-2√5x+4=0 has equal roots.

4 x^{2} - k x - 1 = 0

sin θ

cos θ

| k |

Question 6
Value(s) of k for which the quadratic equation $2 x^{2}$ - kx + k = 0 has equal roots is/are
(A) 0 only
(B) 4
(C) 8 only
(D) 0, 8

x^{2} - k x - 21 = 0

x^{2} - 3 k x + 35 = 0; k > 0

Join BYJU'S Learning Program