x^2=12x-40

Question

Solve the following equation by completing the square. Express the roots in a+bi form.

Answer 1

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