SOLUTION: If someone could please help me with this, it will be a huge help. 1) Solve -16t^2 -8t = 10 by completing the square.

Question 1029212: If someone could please help me with this, it will be a huge help.

1) Solve -16t^2 -8t = 10 by completing the square.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Solve -16t^2 -8t = 10 by completing the square.
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16t^2 + 8t = -10
t^2 + (1/2)t = -5/8
c = (b/2a)^2 = (8/32)^2 = 1/16
----
t^2 + (1/2)t + 1/16 = -5/8 + 1/16 = -9/16
(t+1/4)^2 = -9/16
t + 1/4 = � sqrt(-9/16) = �3i/4
t = -1/4 � 3i/4
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

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 -576 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 -576 is + or - .

The solution is , or
Here's your graph:

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