SOLUTION: how can i solve this problem 6x-2=x+1 the 6x-2 has a radical sign

Algebra ->  Radicals -> SOLUTION: how can i solve this problem 6x-2=x+1 the 6x-2 has a radical sign      Log On


   

Question 124688: how can i solve this problem
6x-2=x+1 the 6x-2 has a radical sign
Answer by gems(12) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (6x+2) = x+1
square both sides
6x+2= (x+1) sqrd
6x+2=x sqrd + 2x + 1
-x sqrd + 6x-2x+2-1=0
-x sqrd + 4x + 1=0
or x sqrd - 4x -1=0
using quadratic formula
a=1, b=-4, c= -1
-b+/- sqrt -b sqrd-4ac/2a
-(-4)+/- sqrt -(-4)sqrd - 4(1)(-1)/2(1)
4+/- sqrt 16+4/2
4+/-sqrt20/2
4/- sqrt (4*5)/2
4+/-2sqrt 5/2
x1=2+srt 5
x2=2-sqrt 5