algebra

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What would be the discriminant for this equation:

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 -

    You 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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