find the range of m

Question

x²-(m+1)x+2m-1=0

^½log(1+α²)+^½log(1+β²)>^½log2

 

what is the range of m?

Answer 1

find the range of m
x²-(m+1)x+2m-1=0.

 

You have given a quadratic equation in which a=1, b=-m-1 & c = 2m-1.

 

m can be anything.

 

If you want to find Real roots, you could use the quadratic formula.

 

 

Substituting the above a, b, c in the formula for Discriminant would enable you to study under what conditions the discriminant is not negative...