Completing square

Solve the quadratic equation:

m2=4m+20 using completing the square method

Correct result:

m1 =  6.899
m2 =  -2.899

Solution:

m2=4m+20 m24m20=0 (m2)2420=0 (m2)224=0 (m2)2=24 m2=±24  m1=2+24=6.899m^2=4m+20 \ \\ m^2-4m-20=0 \ \\ (m-2)^2-4-20=0 \ \\ (m-2)^2-24=0 \ \\ (m-2)^2=24 \ \\ m-2=\pm \sqrt{ 24 } \ \\ \ \\ m_{1}=2 + \sqrt{ 24 }=6.899
m2=224=2.899m_{2}=2 - \sqrt{ 24 }=-2.899

Our quadratic equation calculator calculates it.




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