If \(\sqrt{3x+4}=x\), what is the value of \(x?\)

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by Scott@TargetTestPrep » Sun Dec 22, 2019 7:35 pm
VJesus12 wrote:If \(\sqrt{3x+4}=x\), what is the value of \(x?\)

A. \(-4\)
B. \(-2\)
C. \(1\)
D. \(2\)
E. \(4\)

[spoiler]OA=E[/spoiler]

Source: GMAT Prep
Squaring both sides, we have:

3x + 4 = x^2

x^2 - 3x - 4 = 0

(x - 4)(x + 1) = 0

x = 4 or x = -1

Answer: E

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