If-ab-ba-n-2-Find-max-a-b-min-a-b-

Question Number 215137 by hardmath last updated on 29/Dec/24

If \overset{―}{ab} + \overset{―}{ba} = n^{2}

Find \max (a \cdot b) - \min (a \cdot b) = ?

Answered by mahdipoor last updated on 29/Dec/24

a b + b a = 11 (a + b) = 11^{2} = n^{2} \Rightarrow 11 = a + b \Rightarrow

m a x (a . b) = 30, m i n (a . b) = 18 \Rightarrow 30 - 18 = 12