SOLUTION: Find all solutions of the equation x^2−4x+5=0 and express them in the form a+bi:

Algebra ->  Equations -> SOLUTION: Find all solutions of the equation x^2−4x+5=0 and express them in the form a+bi:      Log On


   

Question 1100959: Find all solutions of the equation x^2−4x+5=0 and express them in the form a+bi:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-4x%2B5=0

x=%284%2B-+sqrt%2816-4%2A5%29%29%2F2

x=%284%2B-+sqrt%28-4%29%29%2F2

x=%284%2B-+2sqrt%28-1%29%29%2F2

x=2%2B-+sqrt%28-1%29

highlight_green%28x=2%2B-+i%29



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Did you also want help with x%5E2-x%2B5=0 ?
You can use the same method as above, which was the general solution of a quadratic equation. Just follow the formula and simplify.
x=%281%2B-+sqrt%28%28-1%29%5E2-4%2A1%2A5%29%29%2F2