Question 170893: Can you please help show me how to solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! solve this quadratic equation by completing the square.
a^2 - 4a + 5 = 0
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a^2 - 4a + ? = -5 + ?
a^2 -4a + (-4/2)^2 = -5 + (-4/2)^2
a^2 - 4a + 4 = -5 + 4
a^2 - 4a + 4 = -1
(a-2)^2 = -1
a-2 = i or a-2 = -i
a = 2+i or a = 2-i
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Comment: If you have not studied complex numbers the
answer you would get would be "no solution".
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Cheers,
Stan H.
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