Final answer:
To solve the equation x²+11x+121/4=125/4, we can use the quadratic formula to find the solutions for x.
Step-by-step explanation:
To solve the equation x²+11x+121/4=125/4, we first set the equation equal to zero by subtracting 125/4 from both sides. This gives us x²+11x+121/4-125/4=0.
Next, we find a common denominator for the fractions and combine them. This gives us the equation x²+11x-1=0.
Finally, we can either factor the equation or use the quadratic formula to solve for x. In this case, the quadratic formula is more appropriate. The solutions are x=-11/2+/-25/2. Therefore, the correct answer to the question is Option B: x=-11/2+/- 25/2.