Answer:
2
Step-by-step explanation:
2x^2 - 4x + n = 0 has only one solution when it can be represented as:
a(x-b)^2 = 0
Let us begin by factoring out the 2 we are left with:
2(x^2 - 2x + m) = 0 where 2 * m = n
Now x^2- 2x + m can be represented as (x-a)(x-b) where a + b = 2 and m = a * b
We want a = b and a + b = 2 so a = b = 1
Hence m = 1
So 2(x^2 - 2x + 1) = 0
So 2x^2 - 4x + 2 = 0
Hence n = 2
