Lesson : Completing the Square ( binomial )
( with solution )
m ^ 2 - 12m + 32 = 0

note : reporting non-related answers

[tex]\huge\sf\color{skyblue}{Answer:}[/tex]Question: Lesson : Completing the Square ( binomial ) [tex] { m}^{2} - 12m + 32 = 0[/tex]________________________[tex]\mathbb{ SOLUTION:} [/tex][tex] { m}^{2} - 12m + 32 = 0[/tex]Rearrange: [tex] {m}^{2} - 12 = - 32[/tex]﹄Complete square root: [tex] {(m - 6)}^{2} = 4 [/tex]﹄Taking the square root: [tex]m - 6 = ± 2[/tex]﹄Solve [tex]m - 6 = 2[/tex]:[tex]m = 6+2= [/tex][tex]\color{skyblue}{8}[/tex]Solve [tex]m - 6 = -2[/tex]:[tex]m = -2+6= [/tex][tex]\color{skyblue}{4 }[/tex]﹄So, [tex]\color{gold}{m = 8 }[/tex] or [tex]\color{gold}{m = 4}[/tex]________________________[tex]\color{skyblue} {Learn\:more\:and\:work\:harder} [/tex]

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