Question

If the equations x^(2)-x-6=0 and x^(2)+7x+10=0 have common root then the common root is​

Answer 1

Step-by-step explanation:

Let α be the common root.

∴α

2

−7α+10=0 ...(1)

and ∴α

2

−10α+16=0 ...(2)

Subtracting (2) from (1)

∴(α

2

−7α+10)−(α

2

−10α+16)=0−0

∴3α−6=0

∴α=2

So, the answer is option (B)