Now solve for the discriminant >0
Hello everyone here on Math Help Forum.
I have an urgent question here: show that the equation has real roots for all real values of .
What I know is that the term ''real roots'' imply that is equal or more than . But my primal problem is that I have difficulties in showing and proving. So here are my workings:
I have tried my best. Please pinpoint my mistakes and kindly continue the rest of the question. Thank you so much for your help and have a nice day!
Thank you so much for your replies! I am very sorry for the mistake when I should have written instead of when I factorise.
But why , when factorised, gives ? If I were to factorise, it will be ; expanding gives .
The most important thing here is to prove that has real roots for all values of k.