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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> 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      Log On


   

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) About Me  (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"?
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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 ax%5E2%2Bbx%2Bc=0 (in our case 1x%5E2%2B1x%2B1+=+0) has the following solutons:

x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca

For these solutions to exist, the discriminant b%5E2-4ac should not be a negative number.

First, we need to compute the discriminant b%5E2-4ac: b%5E2-4ac=%281%29%5E2-4%2A1%2A1=-3.

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 - sqrt%28+3%29+=+1.73205080756888.

The solution is , or
Here's your graph:
graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+1%2Ax%5E2%2B1%2Ax%2B1+%29

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