2 x 3 x4 x 10 =
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= 1/1x2 + 1/2x3 + 1/3x4 ...... +1/9x10
= 1-1/2+1/2-1/3+1/3-1/4+........+1/9-1/10
=1-1/10=9/10
đặt A=1/1 x 1/2 + 1/2 x 1/3 + 1/3 + 1/4 + .......... + 1/9 x 1/10
\(A=\frac{1}{1}\cdot\frac{1}{2}+\frac{1}{2}\cdot\frac{1}{3}+...+\frac{1}{9}\cdot\frac{1}{10}\)
\(=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{9.10}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{9}-\frac{1}{10}\)
\(=1-\frac{1}{10}\)
\(=\frac{9}{10}\)
đặt B=2/1 x 2 + 2/2 x 3 + 2/3 x4 + .............. + 2/98 x 99 + 2/99 x 100
\(B=2\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{99.100}\right)\)
\(=2\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{99}-\frac{1}{100}\right)\)
\(=2\left(1-\frac{1}{100}\right)\)
\(=2\times\frac{99}{100}\)
\(=\frac{99}{50}\)
Bài 10:
a) (x+2)2 -x(x+3) + 5x = -20
=> x2 + 4x + 4 - x2 - 3x + 5x = -20
=> 6x = -20 + (-4)
=> 6x = -24
=> x = -4
b) 5x3-10x2+5x=0
=>5x(x2-2x+1)=0
=>5x(x-1)2 =0
=> 5x=0 hoặc (x-1)2=0
=>x=0 hoặc x=1
c) (x2 - 1)3 - (x4 + x2 + 1)(x2 - 1) = 0
=> (x2 - 1)[(x2 - 1)2 - (x4 + x2 + 1)] = 0
<=> (x2 - 1)(x4 - 2x2 + 1 - x4 - x2 - 1) = 0
<=> (x2 - 1)(-3x2) = 0
<=> (x2 - 1)=0 hoặc (-3x2) =0
<=> x2=1 hoặc x2=0
<=> x=−1;1 hoặc x=0
d)
(x+1)3−(x−1)3−6(x−1)2=-19
⇔x3+3x2+3x+1−(x3−3x2+3x−1)−6(x2−2x+1)+19=0
⇔x3+3x2+3x+1−x3+3x2−3x+1−6x2+12x−6+19=0
⇔12x+13=0⇔12x+13=0
⇔12x=-13
⇔x=-23/12
Học tốt nhé:333
\(x\times7\times9=\frac{10}{3}\)
\(x\times63=\frac{10}{3}\)
\(x=\frac{10}{3}:63\)
\(x=\frac{10}{189}\)
\(x\times\frac{2}{5}=\frac{1}{4}\times4\)
\(x\times\frac{2}{5}=1\)
\(x=1:\frac{2}{5}\)
\(x=\frac{5}{2}\)
\(x:\frac{1}{7}=\frac{1}{2}+\frac{3}{5}\)
\(x:\frac{1}{7}=\frac{11}{10}\)
\(x=\frac{11}{10}\times\frac{1}{7}\)
\(x=\frac{11}{70}\)
\(x:\frac{8}{9}=\frac{2}{9}+5\)
\(x:\frac{8}{9}=\frac{47}{9}\)
\(x=\frac{47}{9}\times\frac{8}{9}\)
\(x=\frac{376}{81}\)
a)X x 7x9 = 10/3 b) X x 2/5 =1/4 x4 c)X : 1/7 = 1/2 + 3/5
X \(\times\)7=\(\frac{10}{3}\div9\) X\(\times\frac{2}{5}=1\) \(x\div\frac{1}{7}=\frac{11}{10}\)
X\(\times\)7=\(\frac{10}{27}\) X\(=1\div\frac{2}{5}\) \(x=\frac{11}{10}\times\frac{1}{7}\)
X=\(\frac{10}{27}\)\(\div7\) X\(=\frac{5}{2}\) \(x=\frac{11}{70}\)
X=\(\frac{10}{198}\)
d)X : 8/9 =2/9 +5
\(x\div\frac{8}{9}=\frac{47}{9}\)
\(x=\frac{47}{9}\times\frac{8}{9}\)
\(x=\frac{376}{81}\)
1)(x2-4x+16)(x+4)-x(x+1)(x+2)+3x2=0
\(\Rightarrow\)(x3+64)-x(x2+2x+x+2)+3x2=0
\(\Rightarrow\)x3+64-x3-2x2-x2-2x+3x2=0
\(\Rightarrow\)-2x+64=0
\(\Rightarrow\)-2x=-64
\(\Rightarrow\)x=\(\dfrac{-64}{-2}\)
\(\Rightarrow x=32\)
2)(8x+2)(1-3x)+(6x-1)(4x-10)=-50
\(\Rightarrow\)8x-24x2+2-6x+24x2-60x-4x+10=50
\(\Rightarrow\)-62x+12=50
\(\Rightarrow\)-62x=50-12
\(\Rightarrow\)-62x=38
\(\Rightarrow\)x=\(-\dfrac{38}{62}=-\dfrac{19}{31}\)
\(a.\left(\dfrac{2}{5}.\dfrac{5}{2}\right).\dfrac{10}{21}=1.\dfrac{10}{21}=\dfrac{10}{21}\)
\(\dfrac{1}{2}.4+\dfrac{3}{4}.4=2+3=5\)
2.3.4.10
=6.4.10
=24.10
=240
240 nha bn