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a) -21 + (4 - x) = -17 + (-20) + 5
=>-21 + 4 - x = -32
=> -17 - x = -32
=> x = -17 + 32
=> x = 15
b) (15 - x) - (+9) = 34 - (-31)
=> 15 - x - 9 = 34 + 31
=> 6 - x = 65
=> x = 6 - 65
=> x = -59
c) (17 + x) - (-12) = -14 - (-10)
=> 17 + x + 12 = -14 + 10
=> 29 + x = -4
=> x = -4 - 29
=> x = -33
c) (x + 24) + 15 = 8 - 17
=> x + 24 + 15 = -9
=> x + 39 = -9
=> x = -9 - 39
=> x = -48
a, (x-15):5+22=24
( x - 15 ) : 5 = 2
x-15 = 10
x = 25
\(\left|x+\frac{4}{15}\right|-\left|-3,75\right|=-\left|-2,15\right|\)
=> \(\left|x+\frac{4}{15}\right|-3,75=-2,15\)
=> \(\left|x+\frac{4}{15}\right|=-2,15+3,75\)
=> \(\left|x+\frac{4}{15}\right|=1,6=\frac{8}{5}\)
=> \(\orbr{\begin{cases}x+\frac{4}{15}=\frac{8}{5}\\x+\frac{4}{15}=\frac{-8}{5}\end{cases}}\)=> \(\orbr{\begin{cases}x=\frac{4}{3}\\x=\frac{-28}{15}\end{cases}}\)
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)\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Leftrightarrow2x-15=1\)
\(\Leftrightarrow2x=16\)
\(\Leftrightarrow x=8\)
60-[15*X+4]=15/2:1/2
60-[15*X+4]=15
15*X+4=60-15
15*X+4=45
15*X=45-4
15*X=41
X=41:15
X=41/15
ko ghi đề
\(60-\left(15.x+4\right)=\frac{15}{2}.\frac{2}{1}\)
\(60-\left(15.x+4\right)=15\)
\(15.x+4=60-15\)
\(15.x+4=45\)
\(15.x=45-4\)
\(15.x=41\)
\(x=41:15\)
\(x=\text{2.7333}\)
\(\frac{4}{5}\left(15+\frac{2}{3}\right)-\frac{4}{5}\left(20+\frac{2}{3}\right)\)
\(=\frac{4}{5}\left[\left(15+\frac{2}{3}\right)-\left(20+\frac{2}{3}\right)\right]\)
\(=\frac{4}{5}.\left(15+\frac{2}{3}-20-\frac{2}{3}\right)\)
\(=\frac{4}{5}.\left(-5\right)\)
\(=-4\)
15 - 5(x - 4 ) = 15
5(x - 4 ) = 15 - 15
5( x - 4 ) = 0
x - 4 = 5 - 0
x - 4 = 5
x = 5 + 4
x = 9
vậy x = 9
\(15-5\left(x-4\right)=15\\ =>5\left(x-4\right)=15-15\\ =>5\left(x-4\right)=0\\ =>x-4=0\\ =>x=4\)