Solve for x in the equation x2+11x+121/4=125/4

We have the following equation:

x2 + 11x + 121/4 = 125/4

Rewriting we have:

x2 + 11x + 121 / 4-125 / 4 = 0

x2 + 11x + (121-125) / 4 = 0

x2 + 11x + ( - 4) / 4 = 0

x2 + 11x-1 = 0

Using resolvent we have the solutions are:

x1 = - 11 / 2 - (5raiz (5)) / 2

x2 = - 11 / 2 + (5raiz (5)) / 2

Answer:

The solutions are:

x1 = - 11 / 2 - (5raiz (5)) / 2

x2 = - 11 / 2 + (5raiz (5)) / 2