Solve by completing the square: x^2=5x+2
Given:X^2=5X+2.
Step1. X^2-5X=2
Step2. X^2-5X+(5/2)^2=2+(5/2)^2
Step3. X^2-5X+25/4=2+25/4.
Step4. (X-5/2)^2=33/4
Step5. Take sqrt of both sides.
X-5/2=+/-sqrt33/2
Step6. X=5/2+/-sqrt33/2.
Step7. Place equation in step6 over
a common denoninator.
X=(5+/-sqrt33)/2=5.37 and 0.37