Values of $k$ for which the quadratic equation $2 x^{2} + k x + k = 0$ has equal roots.

4, 8

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

0, 4

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

4, - 8

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

0, 8

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

Open in App

Solution

The correct option is D $0, 8$
For equal roots, discriminant D of equation $2 x^{2} + k x + k = 0$ , should be zero.
$D = k^{2} - 4 (2) (k) = 0$
$k^{2} - 8 k = 0$
$k (k - 8) = 0$
$k = 0, 8$

Suggest Corrections

Similar questions

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

2 x^{2}

2 x^{2} + k x + 4 = 0

k

\geq 4 \sqrt{2}

k \leq - 4 \sqrt{2}

2 x^{2} + k x + 2 = 0

\leq

Join BYJU'S Learning Program