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Question Number 156253 by MathSh last updated on 09/Oct/21
Answered by ajfour last updated on 09/Oct/21
letb=pa,c=qap,q⩾1a3pq=1L.H.S.−R.H.S.=a3(1+p)(p+q)(q+1)−2a(1+p+q)−2=a3(1a3+p+q+1)(p+q)−2a(1+p+q)−2=1+a3(p+q)2+a(a2−2)(p+q)−2a−2sayp+q=tf(t)=a3t2+a(a2−2)t−2(a+1)+1D=(2−a22a2)2+2(a+1)−1a3asD>0abeing+veL.H.S.−R.H.S.=f(t)>0
Commented by MathSh last updated on 10/Oct/21
ThankyouSer
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