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x^2=12x-40

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1 Answer

Solve the following equation by completing the square. Express the roots in a+bi form.
x2=12x-40
 
x2 - 12x + 40 = 0
 
x2 - 12x + (-12/2)2 + 40 - (-12/2)2 = 0
 
(x2 - 12x + 36) + 40 - 36 = 0
 
(x-6)2 + 4 = 0
 
(x-6) = ±√(-4)
 
x = 6 ± 2i