help inequality

[vestal walrus]

Let a, b, c be real numbers satisfying a ^ 2 + b ^ 2 + c ^ 2 = 3 Find the maximum value of P = |a| + |b| + |c| - abc

[sour orchid]

Maybe try smth with cauchy schwarz

[humble atlas]

max value occurs at symmetricity

so a=b=c

so max value should be 2

[velvet bluff]

so

you got a negative number and two positive

so is a=1 b= 1 c=-1

so is going to be 4

I thing this is the solution

correct me if I'm wrong

hope this helps

[humble atlas]

ye true

that -abc gets positive value

[velvet bluff]

mhm

[humble atlas]

thx for rectifying

[velvet bluff]

I think this is the solution

[humble atlas]

right