Completing square

Solve the quadratic equation:

m2=4m+20 using completing the square method

Result

m1 =  6.899
m2 =  -2.899

Solution:

m2=4m+20 m2−4m−20=0 (m−2)2−4−20=0 (m−2)2−24=0 (m−2)2=24 m−2=±24  m1=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}=m_{ 1 }=2 + \sqrt{ 24 } \doteq 6.899
m2=m2=2−24≐−2.899m_{2}=m_{ 2 }=2 - \sqrt{ 24 } \doteq -2.899

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