SOLUTION: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer ple

Question 199573: Can anyone help me with this one? It requires me to determine the number of solutions and classify the type of solutions for each of the following equations? Justify the answer please?
x^2-4x-77=0
Found 2 solutions by jim_thompson5910, solver91311:
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

Rewrite as

Add to to get

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

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Calculate the discriminant.

Then evaluate:

Two real and unequal roots.

One real root with a multiplicity of two. That is to say that the trinomial is a perfect square and has two identical factors.

A conjugate pair of complex roots of the form where is the imaginary number defined by

John

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