SOLUTION: Evaluate the discriminant of each equation. How many real and imaginary soulutions does each have? if you could help with the 4 problems i can do the rest of the paper please expla

Question 259866: Evaluate the discriminant of each equation. How many real and imaginary soulutions does each have? if you could help with the 4 problems i can do the rest of the paper please explain as well so i can see what im doing please
x^2+5x+6=0
3x^2-4x+3=0
-2x^2-5x+4=0
16x^2-8x+1=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you going

# 1

From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Subtract from to get

Since the discriminant is greater than zero, this means that there are two real solutions.

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# 2

From we can see that , , and

Start with the discriminant formula.

Plug in , , and

Square to get

Multiply to get

Subtract from to get

Since the discriminant is less than zero, this means that there are two complex solutions.

In other words, there are no real solutions.
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