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February 1, 2015

February 1, 2015

Posted by **Becky** on Friday, March 7, 2008 at 9:55am.

x^2-2x+12=0

How many solutions are there?

I have that the discriminant is -44 and since the discriminant is negative, the square root of the discriminant is a pure imaginary number.

Is this correct?

- algebra -
**drwls**, Friday, March 7, 2008 at 10:16amYou are correct. The discriminant b^2-4ac is negative and therefore there are two complex solutions, and no real ones.

x = (1/2)[2 + i sqrt 44] = 1 + i sqrt 11

and

x = 1 - i sqrt 11

where i = sqrt(-1)

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