Question

How do you solve `3r^{2} = 4r - 1`?

Answer 1

`r=1/3, r=1`

Explanation:

`3r^2=4r-1` (take all factors to one side)
`3r^2 -4r+1=0` (factorise)
`3r^2 -3r-r+1=0`
`3r(r-1) -1(r-1)=0`
`(3r-1)(r-1)=0`
`r=1/3, 1`