Question

x2-6x=0one of the root of the quadratic equation ​

Answer 1

Answer:

x2-6x=0one

Step-by-step explanation:

Let the roots of the first and second equations are (α,4β) and (α,3β) respectively

∴ product of the roots are 4αβ=a ....(1)

and 3αβ=6⇒αβ=2

⇒a=8 . ....From eqn (1)

Therefore, the roots of the equation x

2

−6x+8=0 are (2,4).

Given that the other roots of the first and second equations are integers, so if α=4⇒β=

2

1

In this case 3β is not integer.

Therefore, common root will be α=2