SOLUTION: t-2(3-2t)=2t+9 3t-6-2t^2+4t=2t+9 7t-6-2t^2=2t+9 5t-6-2t^2=9 5t-2t^2=15 -2t^2+5t-15=0 I believe I have it right to this point, but I can not remember how to simplify when it i

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Question 337931: t-2(3-2t)=2t+9
3t-6-2t^2+4t=2t+9
7t-6-2t^2=2t+9
5t-6-2t^2=9
5t-2t^2=15
-2t^2+5t-15=0
I believe I have it right to this point, but I can not remember how to simplify when it is squared.

Answer by edjones(8007)   (Show Source): You can put this solution on YOUR website!
-2t^2+5t-15=0 This is correct. Well done!
This is a quadratic equation. The quadratic equation gives no real numbers as answers.
If you are familiar with imaginary numbers the answer is:
t=5/4 + sqrt(95)/4 * i, t=5/4 - sqrt(95)/4 * i (See below)
.
Ed
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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 -95 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 -95 is + or - .

The solution is

Here's your graph:

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