SOLUTION: This problem is so difficult! I honestly don't know what to do. Can someone please, please answer this question:
Solve by completing the square: x^2=5x+2
Thank you.
Algebra.Com
Question 90551: This problem is so difficult! I honestly don't know what to do. Can someone please, please answer this question:
Solve by completing the square: x^2=5x+2
Thank you.
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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