What is the answer to 4√3x-2=3x-7

Question

Check mark sign is a squared root sign ends at the 2

Answer 1

Square both sides of the equation (and expect an extraneous root!)

$48x-32=9x^2-90x+81$

$9x^2-90x+81=0$

$x^2-10x+9$ = 0

(x-1)(x-9) = 0

The 1 is extraneous & x = 9