Step one:
ALWAYS set equation equal to zero, which in this case has already been done for us.
Step two:
Figure out what formula you need to use in order to solve in this case I'd use the Quadratic formula.
a=1
b=9
c=2
Quadratic formula:
[tex]x = \frac{ - b + - \sqrt{(b) ^{2} - 4(a)(c)} }{2(a)} [/tex]
Then you would plug in the information.
[tex] x = \frac{ - 9+ - \sqrt{(9) {}^{2} - 4(1)(2) } }{2(1)} [/tex]
The solve for what is underneath the square root ONLY.
[tex]x = \frac{ - 9 + - \sqrt{73} }{2} [/tex]
Since you cannot solve this any further, your final two answers are...
[tex]x = \frac{ - 9 + \sqrt{73} }{2} [/tex]
[tex]x = \frac{ - 9 - \sqrt{73} }{2} [/tex]
