What are the solutions to the equation shown?

Question

x squared minus 5 x minus 1 equals 0

Answer 1

To find the solutions to the equation x^2 - 5x - 1 = 0, we can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this equation, a = 1, b = -5, and c = -1. Plugging these values into the formula, we get:

x = (5 ± √((-5)^2 - 4*1*(-1))) / 2*1
x = (5 ± √(25 + 4)) / 2
x = (5 ± √29) / 2

So, the solutions to the equation x^2 - 5x - 1 = 0 are:
x = (5 + √29) / 2
x = (5 - √29) / 2