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Mik đọc công thức bạn tự làm nhé áp dụng công thức nhé:
b1: a)SCSH: ( 2017 - 13 ) : 3 + 1 = 669 ( số hạng )
b2: Tổng: ( 2017 + 13 ) . 669 : 2 = 679035
b) SCSH: ( 2000 - 2 ) : 2 + 1 = 1000 ( số hạng )
Tổng: ( 2000 + 2 ) . 1000 : 2 = 1001000
c)SCSH: ( 102 - 1 ) : 1 + 1 = 102 ( số hạng )
Tổng: ( 102 + 1 ) . 102 : 2 = 5253
Bài 2
\(a,\left(x-5\right)^4=\left(x-5\right)^6\)
\(\Rightarrow\left(x-5\right)^6-\left(x-5\right)^4=0\)
\(\Rightarrow\left(x-5\right)^4\left[\left(x-5\right)^2-1\right]=0\)
\(\Rightarrow\left(x-5\right)^4\left(x-5+1\right)\left(x-5-1\right)=0\)
\(\Rightarrow\left(x-5\right)^4\left(x-4\right)\left(x-6\right)=0\)
\(\Rightarrow x\in\left\{4;5;6\right\}\)
\(b,\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3\left[\left(2xs-15\right)^2-1\right]=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-15+1\right)\left(2x-15-1\right)=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-14\right)\left(2x-16\right)\)
\(\Rightarrow x\in\left\{\frac{15}{2};7;8\right\}\)
Mà \(\frac{15}{2}\notin n\)
\(\Rightarrow x\in\left\{7;8\right\}\)
#)Giải :
Bài 1 :
a)\(A=\frac{2^{13}+2^5}{2^{10}+2^2}=\frac{2^5\left(2^8+1\right)}{2^2\left(2^8+1\right)}=2^3=8\)
b)\(B=\frac{11.3^{22}.3^7-9^{15}}{\left(2.3^{14}\right)^2}=\frac{11.3^{29}-3^{30}}{2^2.3^{28}}=\frac{11.3^{29}-3^{29}.3}{2^2.3^{28}}=\frac{3^{29}\left(11-3\right)}{2^2.3^{28}}=\frac{3^{29}.2^3}{2^2.3^{28}}=6\)
Bài 2 :
a) \(\left(x-5\right)^2=\left(x-5\right)^6\)
\(\Leftrightarrow x^4-625=x^6-15625\)
\(\Leftrightarrow x^6-x^4=15000\)
\(\Leftrightarrow x^6-x^4=5^6-5^4\)
\(\Leftrightarrow x=5\)
b)\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow2x-15=1\)
\(\Leftrightarrow2x=16\)
\(\Leftrightarrow x=8\)
\(S=1+\left(-2\right)+\left(-3\right)+4+5+\left(-6\right)+\left(-7\right)+8+9+...+2001\)
\(\Rightarrow S=\left[1+\left(-2\right)+\left(-3\right)+4\right]+\left[5+\left(-6\right)+\left(-7\right)+8\right]+...+2001\)
\(\Rightarrow S=0+0+0+...+0=0\)
a) \(\frac{3}{2}-\left(x-\frac{7}{3}\right)=\left|-\frac{3}{4}-\frac{9}{8}\right|\)
=> \(\frac{3}{2}-x+\frac{7}{3}=\left|-\frac{15}{8}\right|\)
=> \(\frac{3}{2}-x+\frac{7}{3}=\frac{15}{8}\)
=> \(\frac{3}{2}-x=-\frac{11}{24}\)
=> \(x=\frac{47}{24}\)
b) \(\frac{5}{2}-\left(\frac{3}{2}-\frac{7}{3}+x\right)=\frac{8}{15}-\left(\frac{1}{4}-\frac{7}{10}\right)\)
=> \(\frac{5}{2}-\frac{3}{2}+\frac{7}{3}-x=\frac{8}{15}-\left(-\frac{9}{20}\right)\)
=> \(\frac{10}{3}-x=\frac{59}{60}\)
=> \(x=\frac{10}{3}-\frac{59}{60}=\frac{47}{20}\)
c) \(2\left(\frac{3}{4}-5x\right)=\frac{4}{5}-3x\)
=> \(\frac{3}{2}-10x-\frac{4}{5}+3x=0\)
=> \(\left(\frac{3}{2}-\frac{4}{5}\right)+\left(-10x+3x\right)=0\)
=> \(\frac{7}{10}-7x=0\)
=> \(7x=\frac{7}{10}\)
=> x = 1/10
6/7+5/8÷5-3/16×(-2)²
=6/7+1/8-3/4
=55/56-3/4
=13/56
b.2/3 + 1/3.( -4/9 + 5/6 ) : 7/12
=2/3 + 1/3. ( -8/18 + 15/18 ) : 7/12
=2/3 + 1/3 . 7/18 : 7/12
=2/3 + 7/54 : 7/12
= 2/3 + 2/9
=6/9 + 2/9
= 8/9
bt=-5(x-3y)^2-2(x-3y)-4
thay x-3y=-7 ta có:
-5*(-7)^2-2*(-7)-4=-245+14-4=-235
a) Ta có: -5(x - 3y)2 - 2x + 6y - 4
= -5.(-7)2 - 2(x - 3y) - 4
= -5 . 49 - 2.(-7) - 4
= -245 + 14 - 4
= -235
b) *, -2.(x + 6) = 8 - 6.(x - 10)
=> -2x - 12 = 8 - 6x + 60
=> -2x + 6x = 68 + 12
=> 4x = 80
=> x = 80 : 4
=> x = 20
* ,2 tương tự
a: \(A=-\dfrac{9}{10}-\dfrac{7}{11}-\dfrac{10}{9}\cdot\left(-22\right)\)
\(=-\dfrac{9}{10}-\dfrac{7}{11}+\dfrac{220}{9}\)
\(=\dfrac{-9\cdot99-7\cdot90+220\cdot110}{990}=\dfrac{22679}{990}\)
b: \(B=\dfrac{-5}{7}\cdot\dfrac{6}{13}\cdot\dfrac{-7}{5}\cdot\left(-39\right)\)
\(=-39\cdot\dfrac{6}{13}\cdot\dfrac{-5}{7}\cdot\dfrac{-7}{5}\)
\(=-39\cdot\dfrac{6}{13}=-3\cdot6=-18\)