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# If (3x/4 - 2)^2, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
If (3x/4 - 2)^2, then x =  [#permalink]

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14 Oct 2018, 23:37
00:00

Difficulty:

5% (low)

Question Stats:

97% (00:46) correct 3% (00:45) wrong based on 41 sessions

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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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Re: If (3x/4 - 2)^2, then x =  [#permalink]

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15 Oct 2018, 00:20
Bunuel 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. $$\frac{8}{3}$$

$$(\frac{3x}{4} - 2)^2 = 0$$

i.e. $$\frac{3x}{4} = 2$$

i.e. $$x = \frac{8}{3}$$

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Re: If (3x/4 - 2)^2, then x =  [#permalink]

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15 Oct 2018, 03:49
Bunuel 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. $$\frac{8}{3}$$

Another way to solve this is by number sense.

We want the $$\frac{3x}{4}$$ to be equal to 2 in order to get an answer of 0.

Only answer choice E satisfies the above.

$$\frac{3}{4}* \frac{8}{3}$$
Re: If (3x/4 - 2)^2, then x =   [#permalink] 15 Oct 2018, 03:49
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