已知x

问题描述:

已知x

数学人气:226 ℃时间:2020-01-25 21:16:19
优质解答
原式=(16x²-28x+10+1)/(4x-5)
=[(4x-5)(4x-2)+1]/(4x-5)
=4x-2+1/(4x-5)
=4x-5+1/(4x-5)+3
令a=5-4x
x则a=5-4x>0
则a+1/a>=2√(a*1/a)=2
则-(a+1/a)+3所以原式=-a-1/a+3=-(a+1/a)+3最大值=1
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原式=(16x²-28x+10+1)/(4x-5)
=[(4x-5)(4x-2)+1]/(4x-5)
=4x-2+1/(4x-5)
=4x-5+1/(4x-5)+3
令a=5-4x
x则a=5-4x>0
则a+1/a>=2√(a*1/a)=2
则-(a+1/a)+3所以原式=-a-1/a+3=-(a+1/a)+3最大值=1