Question

If x2 + 4ax + 3 = 0 and 2x2 + 3ax – 9 = 0 have a common root, then find the values of a and the common roots.

step by step explanation required fast. ​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Let the common root of the equations be p.

Then, p  

2

+4ap+3=0 ⇒ 2p  

2

+8ap+6=0

and 2p  

2

+3ap−9=0

Equating both the equations

2p  

2

+8ap+6 = 2p  

2

+3ap−9

⇒ 5ap=−15

⇒ ap=−3

Substitute the value of ap in the first equation

Then, p  

2

+4(−3)+3=0

⇒ p  

2

=9

⇒ p=±3

⇒ a=±1