I am still having trouble solving this problem.

Use the quadratic formula to solve this equation:

4k(k+13)=13

4 k ( k + 13 ) = 13

4 k * k + 4 k * 13 = 13

4 k ^ 2 + 52 k = 13

In google type:

quadratic equation online

When you see list of results click on:

Free Online Quadratic Equation Solver:Solve by Quadratic Formula

When page be open in rectangle type:

4 k ^ 2 + 52 k = 13

and click option: solve it

You will see solution step-by step

P.S.

( 1 / 8 ) ( - 52 )

= 1 * ( - 52 ) / 8 =

- 52 / 8 =

- 13 * 4 / ( 2 * 4 ) = - 13 / 2

( 1 / 8 ) 4 sqrt ( 182 ) =

4 sqrt ( 182 ) / 8 =

( 4 / 8 ) sqrt ( 182 ) =

( 1 / 2 ) sqrt ( 182 ) =

( 1 / 2 ) sqrt ( 4 * 91 / 2 ) =

( 1 / 2 ) sqrt ( 4 ) sqrt ( 91 / 2 ) =

( 1 / 2 ) * 2 * sqrt ( 91 / 2 ) =

1 * sqrt ( 91 / 2 ) =

sqrt ( 91 / 2 )