Question

If one of the root of the quadratic equation 2x2 + ax +3=0 is 1, find the other root of the quadratic
equation. Also find the value of a.
SOMEONE PPLEASE HELP
I WILL MARK UR ANSWER AS BRAINLIEST

Answer 1

AnsWer :

a = 1 and Other roots be 3/2.

To Find :

The Value of a and other roots of given equation.

Solution :

We have,

• Quadratic equation 2x² + ax + 3 = 0.
• And there, one root be 1.

So,

$\tt\langle \: x = 1. \rangle$

Putting in given equation,

$\tt\longmapsto 2 {x}^{2} + ax + 3 = 0.$

$\tt \longmapsto 2 {(1)}^{2} + a(1) + 3 = 0.$

$\tt \longmapsto a = - 5.$

$\rule{90}1$

Now,

We have New equation, by substitute the value of a in it.

$\tt \longmapsto 2 {x}^{2} - 5x + 3 = 0.$

$\rule{200}3$

Let's Find it Roots,

We have Two method Use it.

• Splitting the Middle term.
• Quadratic formula.

By Splitting the Middle term,

$\tt \longmapsto 2 {x}^{2} - 2x - 3x + 3 = 0.$

$\tt \longmapsto 2x(x - 1) - 3(x - 1) = 0.$

$\tt \longmapsto (2x - 3)(x - 1)$

$\rule{40}1$

Either,

$\tt\mapsto x - 1 = 0.$

$\tt \mapsto x = 1.$

Or,

$\tt \mapsto 2x - 3 = 0.$

$\tt \mapsto x = \frac{3}{2} .$

Therefore, the value of a be 1 and other roots be 3/2.

Answer 2

Answer:

AnsWer :a = 1 and Other roots be 3/2.To Find :The Value of a and other roots of given equation.Solution :We have,Quadratic equation 2x² + ax + 3 = 0.And ...