With the process and explanation in details

13

Step-by-step explanation:

the quadratic formula will be used to solve the equation x²-3x-1=0

x = -b±√b²-4ac

          2a

b= -3, a= 1, c= -1

x =   --3±√3²-4*1*-1

             2*1

x =  3±√9+4

          2

x =  3±√13

         2

x₁ = 3 + √13

        2

x₂ = 3 - √13

          2

x₁² + x₂² - 2x₁x₂

22 + 6√13 + 22 - 6√13   + 2

     4                    4

22 + 6√13 + 22 - 6√13 + 8   = 52/4 =13

        4

1696 hundred thousand

step-by-step explanation: