Solve the equation x 2 −5x−1=0 for

To solve the quadratic equation x^2 - 5x - 1 = 0, we can use the quadratic formula, which is x = [-b ± sqrt(b^2 - 4ac)] / (2a). In this equation, a = 1, b = -5, and c = -1.

Step 1: Identify a, b, and c in the equation In the equation x^2 - 5x - 1 = 0, a = 1, b = -5, and c = -1.

Step 2: Substitute the values of a, b, and c into the quadratic formula x = [5 ± sqrt((-5)^2 - 41(-1))] / (2*1) x = [5 ± sqrt(25 + 4)] / 2 x = [5 ± sqrt(29)] / 2

Step 3: Solve for x So, the solutions to the equation x^2 - 5x - 1 = 0 are x = [5 + sqrt(29)] / 2 and x = [5 - sqrt(29)] / 2.