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Question Number 176893 by infinityaction last updated on 27/Sep/22

[4(x^2 +2) +(9/((x^2 +2)))]_(min)

[4(x2+2)+9(x2+2)]min

Answered by mr W last updated on 27/Sep/22

t=x^2 +2≥2 4t+(9/t) is increasing for t≥(3/2). (4t+(9/t))_(min) =4×2+(9/2)=((25)/2)=12.5

t=x2+2⩾24t+9tisincreasingfort⩾32.(4t+9t)min=4×2+92=252=12.5

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