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If (3x/4 - 2)^2

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Carcass
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If (3x/4 - 2)^2 [#permalink] New post   14 Oct 2018, 03:45
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If \((\frac{3x}{4} - 2)^2 = 0\), then x=

A. \(\frac{3}{8}\)

B. \(\frac{3}{4}\)

C. \(0\)

D. \(\frac{4}{3}\)

E. \(\frac{8}{3}\)
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GreenlightTestPrep
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Re: If (3x/4 - 2)^2 [#permalink] New post   14 Oct 2018, 07:18
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Carcass wrote:
If \((\frac{3x}{4} - 2)^2 = 0\), then x=

A. \(\frac{3}{8}\)

B. \(\frac{3}{4}\)

C. \(0\)

D. \(\frac{4}{3}\)

E. \(\frac{8}{3}\)


In other words, \((\frac{3x}{4} - 2)(\frac{3x}{4} - 2) = 0\)

So, it must be the case that: \(\frac{3x}{4} - 2 = 0\)

Add 2 to both sides to get: \(\frac{3x}{4} = 2\)

Multiply both sides by 4 to get: \(3x = 8\)

Divide both sides by 3 to get: \(x = \frac{8}{3}\)

Answer: E

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Ashgre
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Re: If (3x/4 - 2)^2 [#permalink] New post   18 Nov 2020, 02:29
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Carcass wrote:
If \((\frac{3x}{4} - 2)^2 = 0\), then x=

A. \(\frac{3}{8}\)

B. \(\frac{3}{4}\)

C. \(0\)

D. \(\frac{4}{3}\)

E. \(\frac{8}{3}\)


If (3x/4−2)^2 = 0 then (3x/4−2) should be = 0.

If (3x/4−2) = 0 then 3x/4 should be = 2.

By substituting x = 8/3 we get 2, therefore option E is the right answer.
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gmatclubot
Re: If (3x/4 - 2)^2 [#permalink]
18 Nov 2020, 02:29
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