SOLUTION: (t-2)^2=-16 solve the equation

Question 233658: (t-2)^2=-16 solve the equation
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
(t-2)^2=-16
t-2 = sqrt(-16) = �4i
t = 2 + 4i
t = 2 - 4i
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Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -64 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -64 is + or - .

The solution is

Here's your graph:

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I don't know why the solver multiplied by 10, but the results are the same.
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