First Step: Identify a = 4; b = - 11 , c = - 3
x = (11 plus/minus sqrt(169))/8
x = 24/8 and x = - 2/8
x = (11 plus/minus sqrt((- 11) ^ 2 - 4(4)
(- 3)))/(2(4))
x = (11 + 13)/8 and x = (11 - 13)/8 x = (11 plus/minus 13)/8
x = (11 plus/minus sqrt(121 + 48))/8
x = 3 and x = - 1/4
What do these go in
These calculations go in solving a quadratic equation using the quadratic formula. The quadratic equation is typically in the form of ax^2 + bx + c = 0, where a, b, and c are the given constants. In this case, the quadratic equation would be 4x^2 - 11x - 3 = 0. The solutions for x are found by using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
By substituting the given values of a = 4, b = -11, and c = -3 into the quadratic formula, the calculations provided in the question can be performed to find the solutions for x.