If one root of the equation $2 x^{2} + a x + 6 = 0$ is $3$ , then find the value of $a$

-8

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

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

-5

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

Open in App

Solution

The correct option is A
-8

If one root of the equation $2 x^{2} + a x + 6 = 0$ is $3$ ,
then $x = 3$ will satisfy the equation,

$2 (3)^{2} + 3 a + 6 = 0$

$\Rightarrow 18 + 3 a + 6 = 0$

$24 + 3 a = 0$

$\Rightarrow a = - 8$

Suggest Corrections

Similar questions

2 x^{2} - a x + 64 = 0

If one of the roots of the equation 2 $x^{2}$ + ax + 6 = 0 is 3, then find the value of a

If one root of the equation $2 x^{2} + a x + 6 = 0$ is $3$ , then find the value of $a$

If one root of the equation $2 x^{2} + a x + 6 = 0$ is 3, then find the value of a.

If one root of the quadratic equation $2 x^{2} + a x - 6 = 0$ is 2, find the value of a.

Join BYJU'S Learning Program