Question

if a non zero roots of the equation X square + 2 X + 3 Alpha is equal to zero and 2 X square + 3 X + 5 is equal to zero is com and the value of Alpha will be​

Answer 1

Answer:

Let α be the common root.

Therefore,

2(α)

2

+3α+5λ=0...(i)

(α)

2

+3α+3λ=0...(ii)

Subtracting (ii) from (i), we get

α

2

+2λ=0

α=±

−2λ

Substituting in 2x

2

+3x+5λ=0

we get

2(−2λ)±3(

−2λ

)+5λ=0

λ=∓3

−2λ

Hence, λ=0 or λ=−18

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