is this correct:

solve by using the quadratic formula

5x^2+x=3

what i keep getting is this:

(-1 +/- sqrt 61)/(10) or should i reduce the denominator to 5 or is my whole answer incorrect?

(-1 +/- sqrt 61)/(10) looks correct. You do not need to reduce it down, it already is. Nice job, I'm impressed!

(-1 +/- sqrt 61)/(10) is the correct answer.

no number divides into 10 and the numbers on top, so you are done

some people would write this as -1/10 +/- sqrt(61)/10 but what would be the advantage of that?