Solve the following equation using the quadratic formula 2x2

Solve the following equation using the quadratic formula

2x^2 - 3x -1= 0

The solution set is:

2x^2-3x-1

standard quadratic equation is

ax^2 +bx+c=0

a = 2 , b = -3 , c = -1

applying quadratic formula

x = { -b+- sqrt (b^2 - 4ac) } / 2a

plugging the values

x = { 3 + - sqrt ( 9 + 8) } / 4

x =( 3 + - sqrt 17) / 4

solution set is

x = ( 3 + sqrt 17) / 4 , ( 3 - sqrt 17) / 4