SOLUTION: find the type and number of solutions for each equation 2x^-16x=-32 3x^2-8x+8=0

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Question 559999: find the type and number of solutions for each equation
2x^-16x=-32
3x^2-8x+8=0

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the type and number of solutions for each equation




x =~ -0.8312
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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 -32 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 -32 is + or - .

The solution is , or
Here's your graph:





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