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# If (2x/3 - 3)^3=0

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If (2x/3 - 3)^3=0 [#permalink]  07 Apr 2018, 02:22
Expert's post
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Question Stats:

71% (00:31) correct 28% (01:46) wrong based on 7 sessions
If $$(\frac{2x}{3} - 3)^3=0$$, then x=

A. $$\frac{2}{9}$$

B. $$\frac{8}{27}$$

C. $$\frac{2}{3}$$

D. $$\frac{3}{2}$$

E. $$\frac{9}{2}$$
[Reveal] Spoiler: OA

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Joined: 26 Jan 2018
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Kudos [?]: 114 [1] , given: 3

Re: If (2x/3 - 3)^3=0 [#permalink]  07 Apr 2018, 23:49
1
KUDOS
for the equation in question =0, the term in the parenthesis should be zero.
2x/3 - 3 = 0

2x/3 = 3

2x = 9

x = 9/2

Hence E

for cube of a number to be zero, the number itself should be zero.
Re: If (2x/3 - 3)^3=0   [#permalink] 07 Apr 2018, 23:49
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