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solve 2sqrtx+8 = 3sqrtx-2.? NEED HELP!?
steps
1.) isolate the radical on one side of the equation
2.)square or cube both sides- may have to do more than once
3.)simplify and solve
4.) check
I know the steps but my answers never work when I check my answer. I'll reward you best answer points if you answer it correctly. thanks.
1 Answer
- Marley KLv 71 decade agoFavorite Answer
2√(x+8) = 3√(x-2)
can't tell from the way you wrote it if just the x or the whole thing is under the radical, so I'm assuming it's the whole thing.
When there is a radical on both sides of the equation, you cannot isolate, so square both sides:
4(x+8) = 9(x-2)
4x + 32 = 9x -18
5x = 50
x = 10
check: (VERY IMPORTANT when squaring both sides)
2√(10+8) = 3√(10-2)
2√18 = 3√8
6√2 = 6√2
CHECKS! ;)
