Question

How do you factor and solve `2x^2-6x+4=0`?

Answer 1

`x=1 or x=2`

Explanation:

Notice that all the coefficients are even.
We can therefore divide by 2 to simplify matters.

`2x^2 - 6x + 4 = 0" "div 2`

`x^2 -3x +2 = 0" "` Find the factors of 2 which add up to 3.

`(x-2)(x-1) = 0`

Each factor could be equal to 0.
`x- 2 = 0 rArr x = 2`

`x-1 = 0 rArr x = 1`