SOLUTION: Hi, I am having a real hard time trying to figure out this equation. I can not seem to find any kind of example that comes close enough to help me. I have a test tomorrow and this

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Question 323274: Hi, I am having a real hard time trying to figure out this equation. I can not seem to find any kind of example that comes close enough to help me. I have a test tomorrow and this is an example of what the test is about. Here is the equation.
What are the solutions? Give exact and approximate solutions to three decimal places.
x^2 - 5x + 3 = 0

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given equation.


Notice that the quadratic is in the form of where , , and


Let's use the quadratic formula to solve for "x":


Start with the quadratic formula


Plug in , , and


Negate to get .


Square to get .


Multiply to get


Subtract from to get


Multiply and to get .


or Break up the expression.


So the solutions are or


which approximate to or

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