Hannah and Han are each trying to solve the equation x? – 8x + 26 = 0. They know that x = -1 are i & -i, but they are not sure how to use this information to solve for x in their
equation.
Part 1- Here is Hannah's work:
x2 - 8x + 26 = 0
x2 - 8x = -26
Show Hannah how to finish her work using completing the square and complex numbers.
Part 2- Han decides to solve the equation using the quadratic formula. Here is the beginning of his
work:
X =
--+Vb2-4ac
2a
X=
|-(-8)(-8)2-4(1)(26)
2(1)
Finish using the quadratic formula. Simplify the final answer as much as possible.