Math, asked by saireddy369199, 3 months ago

Xsquare +4aX+3=0, 2Xsquare+3aX-9=0
Find (a) value?

Answers

Answered by abhisheks52404
0

If x

2

+4ax+3=0 and 2x

2

+3ax−9=0 have a common root, then the value of 'a' is ______.

Answer

Correct option is

A

±3

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

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