# 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 26,10   13,5   10,-36      -10,-36 One of these...

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=0

Alternative answers 26,10   13,5   10,-36      -10,-36

One of these answers should be the solution.

Asked on by doni2633

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

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

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