how do i solve this equation with out using the quadratic formula:

5x^2 +18x +11 = 0

1 answer

With those numbers, I don't see why one would not want to use the quadratic formula, but...
Guess one could use completing the square:
5x^2 +18x +11 = 0
x^2 + (18/5)x = -11/5
x^2 + (18/5)x + 81/25 = -11/5 + 81/25
(x + 9/5) = 26/25
x = (-9 ± √26)/5