SOLUTION: How many real solutions are there to the equation shown below? x^2 + 3x + 10 = 0

Question 145005: How many real solutions are there to the equation shown below?
x^2 + 3x + 10 = 0
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
none ; the graph is above the x axis; the discriminant is negative.
Cheers,
Stan H
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

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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