Question

radical 11x+3-2x=0

Answer 1

sqrt(11x+3) -2x =0
first get the square root alone on one side
sqrt(11x+3) = 2x
now square each side to get rid of the sqrt
11x + 3 = 4x^2
now move everything to one side
4x^2 - 11x - 3 = 0
now factor it
(x-3)(4x+1) = 0 so x = 3, x = -1/4
OR factor the polynomial using the quadratic formula
x = [11 +/- sqrt( 121 + 48)]/8
x = [11 +/- 13]/8
x = 3, x = -1/4
so x = -1/4, x = 3

check both answers, they DO both work because for x= -1/4, the sqrt(1/4) is +/- 1/2 and the -1/2 + 1/2 = 0

Answer 2

I think i'm right.