What is m from the problem in order that the Discriminator D to get the value zero so that x1=x2: 8(x^2-1)+m(x+1)-2x=0Alternative answers...

The given equation is : 8(x^2-1) + m(x+1) - 2x = 0. We
need the values of m for which the roots are
equal.

8(x^2-1) + m(x+1) - 2x =
0

=> 8x^2 - 8 + mx + m - 2x =
0

=> 8x^2 + x(m - 2) + m - 8 =
0

To ensure the roots are equal we need (m - 2)^2 =
4*(m-8)*8

=> m^2 + 4 - 4m = 32m -
256

=> m^2 - 36m + 260 =
0

=> m^2 - 26m - 10m + 260 =
0

=> m(m - 26) - 10(m - 26) =
0

=> (m - 26)(m - 10) =
0

m = 26 and m =
10

The required values are m = 26,
10