Solve the equation using the Quadratic Formula.
x^-11x-3=0
To solve the equation x^2 - 11x - 3 = 0 using the quadratic formula, we first need to identify the coefficients of the equation.
The equation is in the form ax^2 + bx + c = 0, where:
a = 1 (coefficient of x^2)
b = -11 (coefficient of x)
c = -3 (constant term)
The quadratic formula states that the solutions for x can be found using the equation:
x = (-b ± √(b^2 - 4ac)) / (2a)
Plugging in the values for a, b, and c, we have:
x = (-(-11) ± √((-11)^2 - 4(1)(-3))) / (2(1))
x = (11 ± √(121 + 12)) / 2
x = (11 ± √(133)) / 2
These are the two solutions for the given quadratic equation.