SOLUTION: how do you find the discriminant of each quadratic equation then state the number and type of solutions of n^2-14n+9=-11n-4-5n^2?

Question 174689: how do you find the discriminant of each quadratic equation then state the number and type of solutions of n^2-14n+9=-11n-4-5n^2?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Get all terms to the left side.

Combine like terms.

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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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