SOLUTION: Can someone please assist me with detailed step by step instructions on how to complete this problem? Your assistance and time is greatly appreciated. Solve by completing the sq

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Question 90251: Can someone please assist me with detailed step by step instructions on how to complete this problem? Your assistance and time is greatly appreciated.
Solve by completing the square.
x2 = 5x + 2

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


Subtract 5x from both sides


Factor out 1



Take half of -5 to get -2.5 (ie )
Now square -2.5 to get 6.25 (ie )



Add this result (6.25) inside the parenthesis

Add 6.25(1) to the other side (remember we factored out a 1)

Now the left side is a complete square

Factor the left side

Multiply and combine like terms on the right side

Take the square root of both sides

Add 2.5 to both sides

So the expression breaks down to
or


So our answer is approximately
or

Here is visual proof

graph of


When we use the root finder feature on a calculator, we would find that the x-intercepts are and , so this verifies our answer.

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