Find the value of a if 3 is one of the solution of the equation $2 x^{2} + a x + 6 = 0$ .

-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!

Open in App

Solution

The correct option is A
-8

Step 1:- Substitute $x = 3$ in the equation $2 x^{2} + a x + 6 = 0$
Step 2:- $2 (3)^{2} + 3 a + 6 = 0$
$\Rightarrow 18 + 3 a + 6 = 0$
Step 3:- $24 + 3 a = 0$
$\Rightarrow 3 a = - 24$
$\Rightarrow a = - 8$

Suggest Corrections

Similar questions

Find the value of a if 3 is one of the solution of the equation $2 x^{2} + a x + 6 = 0$ .

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

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

Join BYJU'S Learning Program