21x6+2
nhanh nhanh nhanh
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Cái này chỉ có GTNN
`(3-2x)^2>=0`
`=>12(3-2x)^2>=0`
Dấu "=" xảy ra khi `3-2x=0<=>2x=3<=>x=3/2.`
a,21x6+18x6+6x61
=6x(21+18+61)
=6x100
=600
b,1078x25-25x35-43x25
=25x(1078-35-43)
=25x1000
=25000
c,74x18+740x6+22x74
=74x18+74x10x6+22x74
=74x18+74x60+22x74
=74x(18+60+22)
=74x100
=7400
a) x : 1/4 = 7/5
x = 7/5 x 1/4
x = 7/20
b) 9/2 - x = 3/5
x = 9/2 - 3/5
x = 39/10
c) 12/5 : x = 7/2
x = 12/5 : 7/2
x = 24/35
\(4a^2b^2-\left(a^2+b^2-c^2\right)^2\)
\(=\left(2ab-a^2-b^2+c^2\right)\left(2ab+a^2+b^2-c^2\right)\)
\(=-\left[\left(a-b\right)^2-c^2\right]\left[\left(a+b\right)^2-c^2\right]\)
\(=-\left(a-b-c\right)\left(a-b+c\right)\left(a+b-c\right)\left(a+b+c\right)\)
\(A\left(x\right)\) chia hết cho \(B\left(x\right)\) khi \(A\left(2\right)=0\)
\(\Rightarrow3.2^2+5.2+m=0\)
\(\Rightarrow m=-22\)
\(5n+14⋮n+2\)
\(\Leftrightarrow n+2\in\left\{2;4\right\}\)
hay \(n\in\left\{0;2\right\}\)
\(M=\dfrac{1}{2^2}+\dfrac{1}{4^2}+...+\dfrac{1}{100^2}\)
Ta thấy \(\dfrac{1}{2^2}< \dfrac{1}{1\cdot2};\dfrac{1}{4^2}< \dfrac{1}{3\cdot4};...;\dfrac{1}{100^2}< \dfrac{1}{99\cdot100}\)
\(\Rightarrow M< \dfrac{1}{1\cdot2}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{99\cdot100}\\ =1-\dfrac{1}{2}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{99}-\dfrac{1}{100}\\ =\left(1+\dfrac{1}{3}+...+\dfrac{1}{99}\right)-\left(\dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{100}\right)\\ =\left(1+\dfrac{1}{2}+...+\dfrac{1}{100}\right)-2\left(\dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{100}\right)\\ =\left(1+\dfrac{1}{2}+...+\dfrac{1}{100}\right)-1-\dfrac{1}{2}-...-\dfrac{1}{50}\\ =\dfrac{1}{51}+\dfrac{1}{52}+...+\dfrac{1}{100}< \dfrac{1}{50}+\dfrac{1}{50}+...+\dfrac{1}{50}\left(50.số\right)=\dfrac{50}{50}=1\)
Vậy \(M< 1\)
Mình chỉ so sánh với 1 được thôi à :((
a.\(\left(\dfrac{1}{2}-\dfrac{3}{2x-5^2-5}\right)=11\)
b.\(\dfrac{2}{3}-\left|4x+\dfrac{1}{2}\right|=\dfrac{1}{2}\)
Đề là vậy đk bạn?
21x6+2
=21x2x3+2
=2x(21x3+1)
=2x(63+1)
=2x64
=128
128 nha bn