Using quadric equation

Question

It says to simplify, type exact answer, using radicals and i as needed. Use integers or fractions for any number. Use a comma to separate as needed. If the solution set is -11 - the square root of 137 divided by 4 and the next part if the set is -11+ the square root if 137 divided by 4 and the problem to solve is 2xsquared - 11x - 2=0. What would the answer be?

Answer 1

2x^2 - 11x - 2 = 0

quadratic formula says:

[ 11 +or- sqrt ( 121 - 4*2*-2)] / 4

[ 11 +or- sqrt( 121 + 16)]/4

[ 11 +or- sqrt(137)]/ 4

input it as:

(11 + sqrt(137))/4

and

(11 - sqrt(137))/4

with a comma in between