Question

How do you solve the equation and identify any extraneous solutions for `4 abs(4-3x )= 4x + 6`?

Answer 1

Verify those numbers!

Explanation:

`4(4−3x)=4xs+6s, s = ±1`

`16−12x=4sx+6s`

`16-6s=4sx+12x`

`(16-6s)/(4s + 12)=x`

`s = 1 \Rightarrow x = 10/16 = 5/8`

`s = -1 \Rightarrow x = 22/8 = 11/4`