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Which one of the following equations has a root in common with

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SVP
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Which one of the following equations has a root in common with  [#permalink]

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New post 18 Apr 2017, 11:12
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A
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C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:09) correct 17% (01:05) wrong based on 35 sessions

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Which one of the following equations has a root in common with m^2 + 4m + 4 = 0 ?

A. m^2 − 4m + 4 = 0
B. m^2 + 4m + 3 = 0
C. m^2 − 4 = 0
D. m^2 + m − 6 =0
E. m^2 + 5m + 4 = 0

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Which one of the following equations has a root in common with  [#permalink]

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New post 18 Apr 2017, 11:26
SajjadAhmad wrote:
Which one of the following equations has a root in common with m^2 + 4m + 4 = 0 ?

A. m^2 − 4m + 4 = 0
B. m^2 + 4m + 3 = 0
C. m^2 − 4 = 0
D. m^2 + m − 6 =0
E. m^2 + 5m + 4 = 0


\(m^2 + 4m + 4 = 0\)

\((m+2)^2 = 0\)

m+2 =0
m = -2

put -2 as the value of m in all the options and check if the equation results in 0
Only option C results in 0 when m = -2

Hence option C is correct
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Re: Which one of the following equations has a root in common with  [#permalink]

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New post 18 Apr 2017, 15:31
\(m^2+4m+4=0\)=> \((m+2^)2\)=0

Quick glance on the options show \(m^2\) - 4 as \(m^2-2^2\)=> (m-2)(m+2)
Common factor (m+2)
Hence option C is correct
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Re: Which one of the following equations has a root in common with &nbs [#permalink] 18 Apr 2017, 15:31
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