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`B=x^2-9=0`
`-> x^2=0+9`
`-> x^2=9`
`-> x^2=(+-3)^2`
`-> x=+-3`
Vậy, đa thức `B` có `2` nghiệm là `x={3 ; -3}`.
\(=\dfrac{3x-6+5x+10+3x-26}{\left(x-2\right)\left(x+2\right)}=\dfrac{11x-22}{\left(x-2\right)\left(x+2\right)}=\dfrac{11}{x+2}\)
có [x-y]2=1
suy ra [x-y]mũ 2= 1 mũ 2
suy ra x-1=1
x=1+1
x=2
Bài 1 :
\(CT:C_nH_{2n-6}\left(n\ge6\right)\)
\(\%C=\dfrac{12n}{14n-6}\cdot100\%=90.57\%\)
\(\Rightarrow n=8\)
\(CT:C_8H_{10}\)
Bài 2 :
\(n_{CO_2}=\dfrac{17.6}{44}=0.4\left(mol\right)\)
\(CT:C_nH_{2n+1}OH\)
\(\Rightarrow n_{ancol}=\dfrac{n_{CO_2}}{n}=\dfrac{0.4}{n}\left(mol\right)\)
\(M_A=\dfrac{7.4}{\dfrac{0.4}{n}}=\dfrac{37}{2}n\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow14n+18=\dfrac{37}{2}n\)
\(\Rightarrow n=4\)
\(CT:C_4H_9OH\)
\(CTCT:\)
\(B1:\)
\(CH_3-CH_2-CH_2-CH_2-OH:butan-1-ol\)
\(B2:\)
\(CH_3-CH_2-CH\left(CH_3\right)-OH:butan-2-ol\)
\(B2:\)
\(CH_3-CH\left(CH_3\right)-CH_2-OH:2-metylpropan-1-ol\)
\(B3:\)
\(C\left(CH_3\right)_3-OH:2-metylpropan-2-ol\)
a: \(x=\dfrac{6^2}{3}=12\left(cm\right)\)
\(y=\sqrt{6^2+12^2}=6\sqrt{5}\)
b: \(x=\sqrt{4\cdot9}=6\)
c: \(x=5\cdot\tan40^0\simeq4,2\left(cm\right)\)
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ĐKXĐ: \(x\ne\pm2\)
\(\dfrac{2}{x-2}+\dfrac{3}{x+2}+\dfrac{18-5x}{4-x^2}=\dfrac{2\left(x+2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{3\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}+\dfrac{5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{2x+4+3x-6+5x-18}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{10x-20}{\left(x-2\right)\left(x+2\right)}=\dfrac{10\left(x-2\right)}{\left(x-2\right)\left(x+2\right)}\)
\(=\dfrac{10}{x+2}\)
Câu 8: Áp dụng HTL: \(AH^2=BH\cdot HC\left(D\right)\)
Câu 9: Áp dụng HTL: \(HC=\dfrac{AC^2}{BC}=\dfrac{81}{15}=5,4\left(cm\right)\left(D\right)\)
Câu 10:
Ta có \(BH=BC-HC=15-5,4=9,6\left(cm\right)\)
Áp dụng HTL: \(AH=\sqrt{BH\cdot HC}=7,2\left(cm\right)\left(A\right)\)