Question

One of the roots of the equation x²-5x +q=0 is 2. Find the other root and the value of the coefficient q.

Answer 1

Other root:
`x=3`

`q=6`

Explanation:

If
`x=2`, then
`x-2=0`.

Therefore:

`x^2-5x+q=0`

`2^2-5(2)+q=0`

`4-10+q=0`

`-6+q=0`

`q=6`

This means that the other root is
`x=3` since
`(x-2)(x-3)=x^2-5x+6`