x^2 - x/5 + 2 = 0
Subtract 2 from both sides.
x^2 - x/5 = -2
Multiply all terms by 5.
5x^2 - x = -10
Add 10 to both sides.
5x^2 - x + 10 = 0
We can now apply the quadratic formula:
[tex]-b ± \frac{\sqrt{b^2 - 4ac} }{2a}[/tex]
1 ± (√ 1 - 200) / 10
1 ± √-199 / 10
1 ± i√199 / 10
The solutions are equal to 1 + or - i times the square root of 199 divided by 10.
