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Mathematics 24 Online
OpenStudy (anonymous):

sqrt6m - 5 = m

OpenStudy (anonymous):

plz write it with help of equation

OpenStudy (anonymous):

for better help go to - http://www.physicsforums.com/archive/index.php/t-9474.html

OpenStudy (anonymous):

\[\sqrt{6m} - 5 = m\]

OpenStudy (anonymous):

impossible man!!

OpenStudy (anonymous):

imaginary number..

OpenStudy (anonymous):

@Arnab09 what do u say

OpenStudy (anonymous):

wait im confused

OpenStudy (anonymous):

imaginary number... @Rohan

OpenStudy (campbell_st):

square every term then 6m - 25 = m^2 m^2 - 6m + 25 = 0 solve the quadratic

OpenStudy (anonymous):

sqrt(6m) -5 =m sqrt(6m)=m+5 <--- put sqrt at one side 6m=(m+5)^2 <----- square both side 6m=m^2 +10m +25 <--- expand right hand side 6m-6m= m^2 +10m +25 -6m 0= m^2 +4m+25 b^2-4ac = (4^2)-4(1)(25) = 16-100=-84<0 Therefore, no real solutions m^2 +4m+25=0 (m^2 +4m +4)-4 +25=0 m^2+4m+4 +21=0 (m+2)^2 +21-21=0-21 (m+2)^2 =-21 m+2 =isqrt21 or -isqrt21 m=-2+isqrt21 or -2-i sqrt21

OpenStudy (anonymous):

A.{1} B.{5} C.{1, 5} D.no real solution there are the answer choices

OpenStudy (anonymous):

The answer is D according to my steps shown before :D

OpenStudy (anonymous):

ok thankj you very much :D

OpenStudy (anonymous):

thank*

OpenStudy (anonymous):

\[\sqrt{6m}=m+5\] \[(\sqrt{6m})^2=(m+5)^2\] \[6m=m^2+10m+25\] \[m^2+4m+25=0\] \[m=\frac{-4 \pm \sqrt{4^2-4(1)(25)}}{2(1)}\] \[m=\frac{-4 \pm \sqrt{-84}}{2}=\frac{-4 \pm \sqrt{84i^2}}{2}=\frac{-4 \pm 2i \sqrt{21}}{2}=-2 \pm i \sqrt{21}\]

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