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1/ 10(X-7)-8(X+5)=6(-5)+24
10x - 70 - 8x - 40 = -30 +24
2x - 110 = -6
2x = 104
x=52
2/ 8(X-|-7|)-6(X-2)=|-8|.6-50
8(x - 7) - 6(x-2) = 8.6 - 50
8x - 56 - 6x +12 =48 -50
2x - 44 = -2
2x = 42
x=21
3/ 2(4X-8)-7(3+X)=|-4|(3-2)
8x-16 - 21 - 7x = 4.1
x-37=4
x=41
4/ 12(X-4)=6(x-2)-16(X+3)=7|-4|
12x - 48 = 6x - 12 - 16x -48 =7.4
12x - 48 = 28
12x=76
x=19/3
5/ 4(X-5)-7(5-X)+10(5-X)=-3
4x - 20 -35 +7x + 50 -10x = -3
x - 5 = -3
x = -2
Chúc bạn học tốt!
1/ -8+13-...+x=250
2/ 1-3+5-7+...-x=-600
3/ -2+4-6+8-...+x=100
4/ 2-6=10-14+...-x=-800
giúp mình với nha
1, Tìm x :
a, \(x^7.x^5=3^{12}\)
\(\Rightarrow x^{12}=3^{12}\)
\(\Rightarrow x=3\)
Vậy x = 3
b, \(\left(x+1\right)^4=5^8\div25^4\)
\(\left(x+1\right)^4=5^8\div\left(5^2\right)^4\)
\(\left(x+1\right)^4=5^8\div5^8\)
\(\left(x+1\right)^4=1\)
\(\Rightarrow x\in\left\{0;1\right\}\)
Vậy \(x\in\left\{0;1\right\}\)
c, \(x^6=x\)
\(\Rightarrow x^6-x=0\)
\(\Rightarrow x.x^5-x.1=0\)
\(\Rightarrow x\left(x^5-1\right)=0\)
x = 0 hoặc x5 - 1 = 0
x = 0 hoặc x5= 1
x = 0 hoặc x5 = 1
\(\Rightarrow x\in\left\{0;1\right\}\)
Vậy \(x\in\left\{0;1\right\}\)
2, Tính :
\(\left(4^{20}+4^{15}\right)\div\left(4^{10}+4^5\right)\)
\(=4^{15}.\left(4^5+1\right)\div4^5.\left(4^5+1\right)\)
\(=4^{15}\div4^5\)
\(=4^{10}\)
Vậy giá trị biểu thức trên bằng 410
\(A=2^0+2^1+2^2+...+2^{2016}\)
\(2A=2+2^2+2^3+...+2^{2017}\)
\(2A-A=\left(2+2^2+2^3+...+2^{2017}\right)-\left(2^0+2^1+2^2+...+2^{2016}\right)\)
\(\Rightarrow A=2^{2017}-1\)
Vậy : \(A=2^{2017}-1\)
\(\dfrac{3}{4}\times\left(x+1\right)-\dfrac{1}{4}\times\left(x-2\right)=\dfrac{5}{8}\\ \dfrac{3}{4}\times x+\dfrac{3}{4}-\dfrac{1}{4}\times x+\dfrac{1}{4}\times2=\dfrac{5}{8}\\ x\times\left(\dfrac{3}{4}-\dfrac{1}{4}\right)+\left(\dfrac{3}{4}+\dfrac{2}{4}\right)=\dfrac{5}{8}\\ x\times\dfrac{1}{2}+\dfrac{5}{4}=\dfrac{5}{8}\\ x\times\dfrac{1}{2}=\dfrac{5}{8}-\dfrac{5}{4}\\ x\times\dfrac{1}{2}=-\dfrac{5}{8}\\ x=-\dfrac{5}{8}:\dfrac{1}{2}\\ x=-\dfrac{5}{4}\)
\(\dfrac{3}{4}\left(x+1\right)-\dfrac{1}{4}\left(x-2\right)=\dfrac{5}{8}\\ \Rightarrow\dfrac{3}{4}x+\dfrac{3}{4}-\dfrac{1}{4}x+\dfrac{1}{2}=\dfrac{5}{8}\\ \Rightarrow\dfrac{1}{2}x+\dfrac{5}{4}=\dfrac{5}{8}\\ \Rightarrow\dfrac{1}{2}x=\dfrac{5}{8}-\dfrac{5}{4}\\ \Rightarrow\dfrac{1}{2}x=-\dfrac{5}{8}\\ \Rightarrow x=-\dfrac{5}{8}:\dfrac{1}{2}\\ \Rightarrow x=-\dfrac{5}{4}\)