Question

if one root of quadratic equation 2x2 + ax + 3 = 0 is 1 then find the value of a
give me full solution​

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,

( x = 1 )

Putting in given equation,

⇒ 2x² + ax + 3 = 0

⇒ 2 (1)² + a(1) + 3 = 0

⇒ a = -5

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Now,

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

⇒ 2x² - 5x + 3 = 0

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Let's Find it Roots,

We have Two method Use it.

• Splitting the Middle term.

• Quadratic formula.

By Splitting the Middle term,

⇒ 2x² - 2x - 3x + 3 = 0

⇒ 2x (x - 1) - 3 (x - 1) = 0

⇒ (2x - 3) (x - 1)

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Either,

x - 1 = 0

→ x = 1

Or,

$→ 2x-3=0\\\\  → x=\frac{3}{2}$

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