If the equations $2 x^{2} + k x - 5 = 0$ and $x^{2} - 3 x - 4 = 0$ have a common root, then the value of k is

$- 2$

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

$- \frac{1}{4}$

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

$- 3$

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

$\frac{27}{4}$

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

Open in App

Solution

The correct option is C
$- 3$

If ' $α$ ' is the common root then $2 α^{2} + k α - 5 = 0, α^{2} - 3 α - 4 = 0$ solve the equations.

Suggest Corrections

Similar questions

If the equations $2 x^{2} + k x - 5 = 0$ and $x^{2} - 3 x - 4 = 0$ have a common root, then the value of k is

2 x^{2} + k x - 5 = 0

x^{2} - 3 x - 4 = 0

k

If the equations $2 x^{2} + k x - 5 = 0$ and $x^{2} - 3 x - 4 = 0$ have a common root, then the value of k is

^{'} k^{'}

2 x^{2} + k x - 5 = 0

x^{2} - 3 x - 4 = 0

K

2 x^{2} + K x - 5 = 0

x^{2} - 3 x - 4 = 0

Join BYJU'S Learning Program