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

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Which one of the following equations has a root in common with m^2 + 4  [#permalink]

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New post 12 Nov 2018, 01:43
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (01:12) correct 26% (00:53) wrong based on 99 sessions

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Which one of the following equations has a root in common with m^2 + 4  [#permalink]

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New post 12 Nov 2018, 02:38
Bunuel 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. \(m^2 + 5m + 4 = 0\)



root value of m^2 + 4m + 4 = 0 will be m=-2,-2

for m^2 − 4m + 4 = 0 , m= (2,2)
m^2 + 4m + 3 = 0[, m= (-3,-1)
m^2 − 4 = 0, m=+/-2
m^2 + m − 6 =0= m= -3,+2
m^2 + 5m + 4 = 0= , m= -3,-2

common root would be in option E and option C , i think option E would be correct...


GMATinsight : sir how is C correct?
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Re: Which one of the following equations has a root in common with m^2 + 4  [#permalink]

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New post 13 Nov 2018, 05:32
Archit3110 wrote:
Bunuel 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. \(m^2 + 5m + 4 = 0\)



root value of m^2 + 4m + 4 = 0 will be m=-2,-2

for m^2 − 4m + 4 = 0 , m= (2,2)
m^2 + 4m + 3 = 0[, m= (-3,-1)
m^2 − 4 = 0, m=+/-2
m^2 + m − 6 =0= m= -3,+2
m^2 + 5m + 4 = 0= , m= -3,-2

common root would be in option E and option C , i think option E would be correct...


GMATinsight : sir how is C correct?


Archit3110

Your calculation is wrong here in option E

Option E : \(m^2 + 5m + 4 = (m+1)*(m+4) = 0\) i.e. m = -1 or -4 hence no root common with given equation

Option C: \(m^2 − 4 = 0\), m=+/-2 i.e. root m=-2 is common hence the CORRECT OPTION

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Which one of the following equations has a root in common with m^2 + 4  [#permalink]

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New post 13 Nov 2018, 05:35
GMATinsight wrote:
Archit3110 wrote:
Bunuel 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. \(m^2 + 5m + 4 = 0\)



root value of m^2 + 4m + 4 = 0 will be m=-2,-2

for m^2 − 4m + 4 = 0 , m= (2,2)
m^2 + 4m + 3 = 0[, m= (-3,-1)
m^2 − 4 = 0, m=+/-2
m^2 + m − 6 =0= m= -3,+2
m^2 + 5m + 4 = 0= , m= -3,-2

common root would be in option E and option C , i think option E would be correct...


GMATinsight : sir how is C correct?


Archit3110

Your calculation is wrong here in option E

Option E : \(m^2 + 5m + 4 = (m+1)*(m+4) = 0\) i.e. m = -1 or -4 hence no root common with given equation

Option C: \(m^2 − 4 = 0\), m=+/-2 i.e. root m=-2 is common hence the CORRECT OPTION



GMATinsight
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Re: Which one of the following equations has a root in common with m^2 + 4  [#permalink]

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New post 12 Jan 2019, 19:35
Is it possible to solve this question via Vietes theorem?

Bunuel

Kind regards!
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Re: Which one of the following equations has a root in common with m^2 + 4   [#permalink] 12 Jan 2019, 19:35
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Which one of the following equations has a root in common with m^2 + 4

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