Solutions: x=1 and x=5
the quadratic formula is -b plus or minus the square root of b^2-4ac, with all of that over 2a. in this instance, a=1, b=-6, and c=5. so, the equation works out to be 6 plus or minus the square root of 36-20, all divided by 2.
the next step is to simplify what’s under the square root. 36-20=16. 16 is a perfect square, so we can take the square root of it. now we have the equation 6 plus or minus 4, all divided by 2.
now we can actually solve. let’s start with doing 6 plus 4, divided by 2. 6 +4= 10, and 10/2 = 5. so one solution is x=5
the next solution can be found with subtraction. 6-4=2, and 2/2 = 1. so the other solution to the quadratic formula is x=1
