SOLUTION: Determine the value of n so that the roots of nx^2 – 8x + 10 = 0 are equal.

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Question 257438: Determine the value of n so that the roots of nx^2 – 8x + 10 = 0 are equal.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here is our equation
(i) nx^2 – 8x + 10 = 0
We need the discriminant part of the quadratic which is
(ii) D+=+b%5E2-4ac
From (i), the D is
(iii) D+=+64+-+4%2An%2A10
We want The roots to be equal, so D = 0.
From (iii) we get
(iv) 64+-+4%2An%2A10+=+0
Solving for n, we get
64+-+40n+=+0
40n+=+64
n+=+8%2F5