1/4х^2+сх+11=0

To solve the quadratic equation 1/4x^2 + cx + 11 = 0, we can use the quadratic formula.

The quadratic formula is given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 1/4, b = c, and c = 11.

Substituting the values into the formula, we have:

x = (-c ± √(c^2 - 4*(1/4)(11))) / (2(1/4))

Simplifying further:

x = (-c ± √(c^2 - 11)) / (1/2)

Multiply both numerator and denominator by 2 to get rid of the fraction:

x = (-2c ± 2√(c^2 - 11)) / 1

Therefore, the solutions to the equation 1/4x^2 + cx + 11 = 0 are:

x = (-2c + 2√(c^2 - 11))

and

x = (-2c - 2√(c^2 - 11))