Y by Adventure10, Mango247
Not so sure if this is a good approach, but I'll give it a go:
From Cauchy-Schwartz, we see that the maximum and the minimum values of are and respectively. Taking these two extreme values and if we solve the simultaneous equations on and , we get the maximum and minimum values as
and respectively.
If I'm wrong, I'm sure someone else will propose a correct and more elegant solution
From Cauchy-Schwartz, we see that the maximum and the minimum values of are and respectively. Taking these two extreme values and if we solve the simultaneous equations on and , we get the maximum and minimum values as
and respectively.
If I'm wrong, I'm sure someone else will propose a correct and more elegant solution