SOLUTION: What are some solutions to the equation x^2-6x+5=-8

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Question 442711: What are some solutions to the equation x^2-6x+5=-8
Answer by swincher4391(1107) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the quadratic for 0.
x^2-6x + 13 =0
What multiples to 13 and adds to -6?
Well, 13 is prime, so only 1,13 are factors. So factoring won't be easy.
Let's use the discriminant to see if we will have any solutions.
The discriminant is defined as b%5E2+-4ac
If b^2-4ac > 0, we will have 2 solutions.
If b^2-4ac < 0, we will have no solutions.
b%5E2-4ac+=+-6%5E2+-+4%2A1%2A13+=+36+-42+=+-6
Thus we have no solutions.