SOLUTION: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2

SOLUTION: Good day to you all. Please determine the nature of the solutions to each equation without solving it. 1.) 25x^2 - 10x + 1 = 0 2.) x^2 + x +2 = 0 3.) 5x^2 - x = 0 Than

Question 587200: Good day to you all.
Please determine the nature of the solutions to each equation without solving it.
1.) 25x^2 - 10x + 1 = 0
2.) x^2 + x +2 = 0
3.) 5x^2 - x = 0
Thank You.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Look at where the
equation has the form
(1)

This means there is 1 real solution
It is called a double root
---------------------------------
(2)

This is minus, so there are 2
imaginary roots ( look like and )
-----------------------------------
(3)

This is plus, so there are 2 real roots
-------------------------------------
Here's plots of the 3 equations.
Touching the x-axis: 1 solution
Not touching at all: 2 imaginary solutions
Touching twice: 2 real solutions

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