One of the roots of 2x^2 + rx + s = 0 is 5 - 3i, where r and s are real. Find r + s.
If one root is 5 - 3i then the other root is 5 + 3i.
An equation with these roots are: [ x - (5 - 3i) ] · [ x - (5 + 3i) ] = 0
Expand this equation.
However, the equation is supposed to be of the form: 2x2 + rx + s = 0,
so, you'll have to multiply your answer (above) by 2 to get the proper form.
Then, you'll have r and s.