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3^x+3^(x+2)=90
3^x+3^x.3^2=90
3^x.(1+3^2)=90
3^x.10=90
3^x=9
3^x=3^2
=>x=2
Vậy x=2
3^x + 3^(x+2) = 90
=> 3^x + 3^x x 3^2 = 90
=> 3^x (9 + 1) = 90
=> 3^x x 10 = 90
=> 3^x = 9
=> 3^x = 3^2
=> x = 2
Đặt \(A=\frac{1.2+2.4+3.6+4.8+5.10}{4+6.8+9.12+12.16+15.20}\)
\(\Rightarrow A=\frac{1.\left(1+2\right)+2.\left(1+2\right)+3.\left(1+2\right)+4.\left(1+2\right)+5.\left(1+2\right)}{4+2.\left(3+4\right)+3.\left(3+4\right)+4.\left(3+4\right)+5.\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+2+3+4+5\right).\left(1+2\right)}{4+\left(2+3+4+5\right).\left(3+4\right)}\)
\(\Rightarrow A=\frac{\left(1+5\right).5:2.\left(1+2\right)}{4+\left(2+5\right).4:2.\left(3+4\right)}\)
\(\Rightarrow A=\frac{6.5:2.3}{4+7.4:2.7}=\frac{45}{4+98}=\frac{45}{102}=\frac{15}{34}\)
Vậy \(A=\frac{15}{34}\)
Chúc bn học tốt
Ta có -2-(x-17)=34-(-x+25)
-2-x+17=34+x+25
-2 +(-x)+17+(-x)=34+25
[(-x)+(-x)]+[(-2)+17]=29
(-x).2+15=29
(-x).2=29-15
(-x).2=14
(-x)=14:2
(-x)=7
x=-7
cau b ta co9;(x+x+.....+x)-(1+2+....+100)=4950
100x - 5050 =4950
100x =4950+5050
100x =10000
x=10000 ;100
x=100
(x-2)2=9 (x+1)3=125
x-2=3 x+1=5
x=3+2 x=5-1
x=5 x=4
a, \(\left(x-2\right)^2=9\)
\(x-2=\sqrt{9}\)
\(x-2=3\)
\(x=3+2\)
\(x=5\)
b, \(\left(x+1\right)^3=125\)
\(x+1=\sqrt[3]{125}\)
\(x+1=5\)
\(x=5-1\)
\(x=4\)