Question

√(3x+1)=3+√(x-4)

Answer 1

x=5 or 8

Answer 2

how did you solve this problem though?

Answer 3

http://www.wolframalpha.com/input/?i=sqrt%283x%2B1%29%3D3%2Bsqrt%28x-4%29

Answer 4

i ddnt use wolfram lol

Answer 5

the results are correct - wolfram confirms it :)

Answer 6

yeah, it sure does but that doesn't teach me how to solve problems like this

Answer 7

I started on it and got side tracked - looks like jahtoday has it down.

Answer 8

square both sides:
3x+1=9+3*2*sqrt(x-4)+x-4
3x+1=9+6sqrt(x-4)+x-4
2x-4=6sqrt(x-4)
x-2=3sqrt(x-4)

square both sides again
(x-2)^2=9(x-4)
x^2-4x+4=9x-36
x^2-13x+40

now factor
(x-5)(x-8)
x=5 or 8

Answer 9

lol its just annoying of a problem

Answer 10

that's probably why no one wants to answer it. lol

Answer 11

and we already know the result is correct :)

Answer 12

to do problems like these u usually have to square the equation as many times as there are different square roots so it takes a bit

Answer 13

thanks for the help, jahtoday. still don't get the whole thing but i'm working on it

Answer 14

no prob