Question

If `(3x-2)^2 + 1 = 50`, then what is `20-2x`?

Answer 1

There are two possible solutions:

`50/3`, or `14`

Explanation:

We have:

`(3x-2)^2 + 1 = 50`
`:. (3x-2)^2 = 49`
`:. 3x-2 = +-7`
`:. 3x = 2+-7`
`:. x = 2/3+-7/3`
`:. x = -5/3, 3`

And so `y=20-2x` is:

`y=20-10/3, 20-6`
`\ \=50/3, 14`