The square of 9m - the fourth power of 25N

The square of 9m - the fourth power of 25N

9m^2-25n^4
=(3m)^-(5n^2)^2
=(3m+5n^2)(3m-5n^2)

Find the range of y equal to the square of x minus x plus 3 divided by the square of x minus x plus 1 (using discriminant method)

y=(x^2-x+3)/(x^2-x+1)
=1+2/(x^2-x+1)
=1+2/[(x-1/2)^2+3/4)]
0,——》2/(x^2-x+1)>0
——》y>1,
That is, y ∈ (1,11 / 3)]

What is the range where y equals the square of x minus one?
What is the range where y equals the square of x minus one?
(negative infinity, - 1) Union (0, positive infinity)

Let u = x ^ 2-1 > = - 1
Then y = 1 / u
And u is not 0
When - 1=