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If 2-sqrt3x-5=-2

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Carcass
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If 2-sqrt3x-5=-2 [#permalink] New post   03 Mar 2022, 04:00
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If \(2-\sqrt{3x-5}=-2\), then x=


(A) 1
(B) 5/3
(C) 3
(D) 11/3
(E) 7
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E
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GreenlightTestPrep
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Re: If 2-sqrt3x-5=-2 [#permalink] New post   03 Mar 2022, 06:10
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Carcass wrote:
If \(2-\sqrt{3x-5}=-2\), then x=


(A) 1
(B) 5/3
(C) 3
(D) 11/3
(E) 7


Given: \(2-\sqrt{3x-5}=-2\)
Subtract \(2\) from both sides of the equation: \(-\sqrt{3x-5}=-4\)
Multiply both sides of the equation by \(-1\) to get: \(\sqrt{3x-5}=4\)
Square both sides : \(3x-5=16\)
Add \(5\) to both sides : \(3x=21\)
Solve: \(x = 7\)

Answer: E
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gmatclubot
Re: If 2-sqrt3x-5=-2 [#permalink]
03 Mar 2022, 06:10
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