SOLUTION: Can someone put me on the right track I came up with 3 solution and I don't think my answer is right please help thank you.. Determine whether the following equation have a solu

Question 171896This question is from textbook
: Can someone put me on the right track I came up with 3 solution and I don't think my answer is right please help thank you..
Determine whether the following equation have a solution or not? please justify the answer.
(3)1/2 y^2 - 4y -7 (3)1/2 = 0

And can you show me on this one too thank you so much
z^2 + z + 1 = 0

thank you much much!!!!! This question is from textbook

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Can someone put me on the right track I came up with 3 solution and I don't think my answer is right please help thank you..
Determine whether the following equation have a solution or not? please justify the answer.
(3)1/2 y^2 - 4y -7 (3)1/2 = 0
It's not clear what you mean. What is "-7 (3)1/2"?
------------------
And can you show me on this one too thank you so much
z^2 + z + 1 = 0

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 -3 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 -3 is + or - .

The solution is , or
Here's your graph:

The solver uses x, not z, just sub for x.
There are no "real" solution, only complex numbers.
z = -1/2 + sqrt(-3)/2
z = -1/2 - sqrt(-3)/2

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