Book Online Demo

Check Your IQ

Try Test

Courses

Offline Centres

Which of the following equations has 2 as a root?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

2 x 2 − 7 x + 6 = 0

x 2 − 4 x + 5 = 0

x 2 + 3 x − 12 = 0

3 x 2 − 6 x − 2 = 0

answer is A.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

It is given equations.
Taking the first option,

2 x 2 − 7 x + 6 = 0

.
Equating, x=2 in

2 x 2 − 7 x + 6 = 0

⇒ 222 − 72 + 6

⇒ 8 – 14 + 6
⇒ 14 – 14 = 0
So, x=2 is the root of

2 x 2 − 7 x + 6 = 0

.
Taking the second option,

x 2 − 4 x + 5 = 0

.
Substituting, x=2 in

x 2 − 4 x + 5 = 0

⇒ 22 − 42 + 5

⇒4 – 8 + 5
⇒ 1 ≠ 0
So, x=2 is not the root of

x 2 − 4 x + 5 = 0

.
Taking the third option,

x 2 + 3 x − 12 = 0

.
Substituting, x=2 in

x 2 + 3 x − 12

⇒ 22 + 32 − 12

⇒ 4 + 6-12
⇒ -2 ≠ 0
So, x= 2 is not the root of

x 2 + 3 x − 12 = 0

.
Taking the fourth option,

3 x 2 − 6 x − 2 = 0

.
Substituting, x=2 in

3 x 2 − 6 x − 2 = 0

⇒ 322 − 62 − 2

⇒ 12 – 12 – 2
⇒-2 ≠ 0
So, x=2 is not the root of

3 x 2 − 6 x − 2 = 0

..
Therefore, the correct option is 1.

Watch 3-min video & get full concept clarity

JEE

NEET

Foundation JEE

Foundation NEET

CBSE