SOLUTION: verify that 2-5i is a root of the equation z2-4z+29=0

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Question 435098: verify that 2-5i is a root of the equation z2-4z+29=0
Answer by Gogonati(855) About Me  (Show Source):
You can put this solution on YOUR website!
2-5i to be root of equation z%5E2-4z%2B29=0, must satisfy this equation.
Plug z=2-5i, %282-5i%29%5E2-4%282-5i%29%2B29=0, transform the left side.
4-20i-25-8%2B20i%2B29=0, combine like terms.
%28-20%2B20%29i-4-25%2B29=0,
0i-29%2B29=0
0=0
Answer:The value z=2-5i satisfy our equation, therefore is its root.