I want to show the range of y is R for all x. y=(2x-1)/(2x^2-4x+1)

I made a quadratic equation and used the fact that the discriminant >=0 for real x. It was solved to y>=0.5(i-1).

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- November 9th 2012, 06:12 AMStuck Manrange of rational quadratic function
I want to show the range of y is R for all x. y=(2x-1)/(2x^2-4x+1)

I made a quadratic equation and used the fact that the discriminant >=0 for real x. It was solved to y>=0.5(i-1). - November 9th 2012, 06:51 AMrichard1234Re: range of rational quadratic function
What is the meaning of ? How do you define inequalities in the complex plane?

We want to show that for , no matter what our choice of k is, there is always a real solution for x. Equation becomes

The discriminant D is

, which is positive for all real k. - November 9th 2012, 08:09 AMStuck ManRe: range of rational quadratic function
That is the discriminant I got. I thought I had to factorise it. Is there nothing further to do?

I am finding I can't make replies using IE8. Is this a common problem with this forum?