Your question isn't quite formatted correctly to be a quadratic equation as it has no variable for the "a" and "b" terms but I'll just insert them and hopefully it will match what you're asking.
Let x be our variable.
36x² - 46x - 22
The quadratic formula for a quadratic equation in the format ax² + bx + c = 0 is:
[tex]x = \frac{- b +/- \sqrt{b^{2} - 4ac} }{2a} [/tex]
Now we just insert our terms to the formula:
[tex]x = \frac{46 +/- \sqrt{(-46)^{2} - 4(36)(-22)} }{2(36)} [/tex]
And now we solve:
[tex]x = \frac{46 +/- \sqrt{2116 + 3168}}{72} [/tex]
[tex]x = \frac{46 +/- \sqrt{5284}}{72} [/tex]
[tex]x = \frac{46 +/- 2\sqrt{1321}}{72} [/tex]
Your final answers when you simplify:
[tex]x = \frac{23 + \sqrt{1321} }{36} [/tex] and [tex]x = \frac{23 - \sqrt{1321}}{36} [/tex]