Dylan H. answered • 07/18/16
Tutor
New to Wyzant
USF Alumni, B.S. in Math, Tutoring for 7 years
Did you try squaring both sides of the equation and FOILing the right hand side ? Then simplify like terms and see if you can try getting the "square root" Term by itself. Then square both sides again.
Always plug back in answers to see if they still work in original equation. (called "extraneous solutions" if they don't)
Dylan H.
Did you get -
(6x+4) = (4x+1) + 6 sqrt(4x+1) + 9
Then simplify that to :
2x-6 = 6 sqrt(4x-1) ?
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07/18/16
B9o B.
This is what I did.
(6x+4)=(4x+1)+6sqrt(4x+1)+9
(6x+4)=(4x+10 + 6sqrt(4×+1))
2x+4=10 + 6sqrt(4x+1)
2x-6=6sqrt(4x+1)
4x+36=36(4x+1)
4x+36=144x+36
36=140x+36
0=140x
0=x
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07/18/16
Dylan H.
The problem is here:
2x-6=6sqrt(4x+1)
4x+36=36(4x+1)
4x+36=36(4x+1)
The right hand side you did is correct. For the left hand side, you need to square the whole piece.
In other words, (2x-6)^2 then use FOIL .
Hope that helps
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07/18/16
B9o B.
Ahh.thanks
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07/18/16
B9o B.
that answer worked out much better
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07/18/16
Dylan H.
Great!
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07/18/16
Dylan H.
It's still like a bizarre square root answer, right?
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07/18/16
B9o B.
Yes
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07/18/16
B9o B.
07/18/16