Which are the solutions of x^2=-5x+8 7 (-5-sqrt (57))/(2),(-5+sqrt (57))/(2) (-5-sqrt (7))/(2),(-5+sqrt (7))/(2) (5-sqrt (57))/(2),(5+sqrt (57))/(2) (5-sqrt (7))/(2),(5+sqrt (7))/(2)

To solve the quadratic equation , we first rewrite it in standard form: Next, we use the quadratic formula to find the solutions. The quadratic formula is given by: For the equation , the coefficients are:- - - Substituting these values into the quadratic formula, we get: Thus, the solutions are: Therefore, the correct answer is: