SOLUTION: 10zē+3z-3=0 I need to know what is the discriminant? Is it positive or negative? What kind of solution would you get if the discriminant were negative? Thank You!

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Question 744036: 10zē+3z-3=0 I need to know what is the discriminant? Is it positive or negative? What kind of solution would you get if the discriminant were negative?
Thank You!
Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
10zē+3z-3=0 I need to know what is the discriminant?
-----
Disc = b^2 - 4ac
a = 10
b = 3
c = -3
-----
Disc = 10^2 - 4*10*-3
= 100 + 120
= 220
There's no mystery about it.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
When the equation has the form
, then the roots are found
using the quadratic formula:

The discriminant is:

If the discriminant is positive, both roots are real
If the discriminant is negative, both roots are imaginary
If the discriminant is zero, there is 1 real root
------------------
Your equation is:




and the discriminant is:



This result is positive, so there are 2 real roots
Here is the plot:
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