(-x-3)^3 + (x+9) .(x^2 + 27)
giải các bất phương trình
a) \(27^{2-x}\le9\)
b) \(7^{3-x}< 49\)
c) \(27^{3-x}>9\)
d) \(2^{3-x}< 2^3\)
e) \(27^{3-x^2}< 27^{x+1}\)
a: \(27^{2-x}< =9\)
=>\(\left(3^3\right)^{2-x}< =3^2\)
=>\(3^{6-3x}< =3^2\)
=>6-3x<=2
=>-3x<=-4
=>\(x>=\dfrac{4}{3}\)
b: \(7^{3-x}< 49\)
=>\(7^{3-x}< 7^2\)
=>3-x<2
=>-x<2-3=-1
=>x>1
c: \(27^{3-x}>9\)
=>\(\left(3^3\right)^{3-x}>3^2\)
=>\(3^{9-3x}>3^2\)
=>9-3x>2
=>-3x>-7
=>\(x< \dfrac{7}{3}\)
d: \(2^{3-x}< 2^3\)
=>3-x<3
=>-x<0
=>x>0
e: \(27^{3-x^2}< 27^{x+1}\)
=>\(3-x^2< x+1\)
=>\(-x^2-x+2< 0\)
=>\(x^2+x-2>0\)
=>(x+2)(x-1)>0
=>\(\left[{}\begin{matrix}x>1\\x< -2\end{matrix}\right.\)
Tính:
a) 2^5 x 13^12 x 7^8 : 27 x 13^10 x 7^9
b) 2^n x 11 x 3 : 6^n x 3
c) 5^5 x 7 x 9^5 : 15^10
d) 7 x 8^10 x 27^9 - 8 x 9^13 x 2^27 : 7 x 6^26 x 2^2 - 2^4 x 8^3 x 27^9
e) 2^2^1^2015
f) 2015^0^2015^0^2015
tìm x
3x /27=27
9x-1 =1/9
32/2x=4
27/3x=3
9x:3x=32015
2 x 3x + 3x-1=7-(32+ 2 x 62)
7x+2 + 2 x 7x-1=345
j mà j mà hjhj thế nguyenthuy thế trieu dang
\(\frac{3^x}{27}=27\Rightarrow\frac{3^x}{27}=\frac{729}{27}=\frac{3^6}{27}\)
\(\Rightarrow3^x=3^6\Rightarrow x=6\)
1/3(1-4x)(x-1) +4(3x-2) (x+3)=-27
2/ (x+3) (x^2 -3x+9)-x(x-1)(x+1)=27
1/
\(3\left(-1-4x^2+5x\right)+4\left(3x^2+7x-6\right)=-27\)
\(\Leftrightarrow-3-12x^2+15x+12x^2+28x-24=-27\)
\(\Leftrightarrow43x=0\Rightarrow x=0\)
2/
\(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x^2-1\right)=27\)
\(\Leftrightarrow x^3+27-x^3+x=27\)
\(\Leftrightarrow x=0\)
Tính (theo mẫu)
Mẫu: 3 x (5 + 4) = ?
Cách 1:
3 x (5 + 4) = 3 x 9 = 27
Cách 2:
3 x (5 + 4) = 3 x 5 + 3 x 4 = 15 + 12 = 27
a) 5 x (10 + 9)
b) 10 x (30 + 5)
Hướng dẫn giải:
a) 5 x (10 + 9)
Cách 1:
5 x (10 + 9) = 5 x 19 = 95
Cách 2:
5 x (10 + 9) = 5 x 10 + 5 x 9 = 50 + 45 = 95
b) 10 x (30 + 5)
Cách 1:
10 x (30 + 5) = 10 x 35 = 350
Cách 2:
10 x (30 + 5) = 10 x 30 + 10 x 5 = 300 + 50 = 350
Hướng dẫn giải nè :
a) 5 x (10 + 9)
Cách 1:
5 x (10 + 9) = 5 x 19 = 95
Cách 2:
5 x (10 + 9) = 5 x 10 + 5 x 9 = 50 + 45 = 95
b) 10 x (30 + 5)
Cách 1:
10 x (30 + 5) = 10 x 35 = 350
Cách 2:
10 x (30 + 5) = 10 x 30 + 10 x 5 = 300 + 50 = 350
Tính:
a) 2^5 x 13^12 x 7^8 : 2^7 x 13^10 x 7^9
b) 2^n x 11 x 3 : 6^n x 3
c) 5^5 x 7 x 9^5 : 15^10
d) 7 x 8^10 x 27^9 - 8 x 9^13 x 2^27 : 7 x 6^26 x 2^2 - 2^4 x 8^3 x 27^9
e) 2^2^1^2015
f) 2015^0^2015^0^2015
1) 27,56 x 35 + 27,56 x67- 27,56 x2
2) 4 x 35 x 25 x 5 x2
3) ( 32 x 18 - 16 x 36 ) x( 1+3+5+7+......+1001)
4) 3/5 + 2/5 x 1/2 - 2/3 x 3/4
5) 27 x 13 + 35 x 27 - 12 x 9
6) 33/5 x 15/11 + 22/27 x 81/44 - 3/5 : 9/5
1).( 27,56 x 35 ) + ( 27,56 x 67 ) - ( 27,56 x 2)
= (964 + 1846,52) - 55,12
=2810,52 - 55,12
= 2755,4
2).( 4x 35 ) x ( 25 x 5 ) x 2
= ( 140 x 125 ) x2
= 17500 x 2
=35000
4). 3/10
5). 1188
6). 61/6
1,2755,4
2,35000
3,0
4,\(\frac{3}{10}\)
5,1188
6,\(\frac{61}{6}\)
\(\frac{2}{x-3}-\frac{27}{x^3-27}=\frac{3}{x^2+3x+9}\)
\(\frac{2}{x-3}\)-\(\frac{27}{x^3-27}\)=\(\frac{3}{x^2+3x+9}\)
\(\frac{2}{x-3}\)-\(\frac{27}{\left(x-3\right)\left(x^2+3x+9\right)}\)=\(\frac{3}{x^2+3x+9}\)
\(\frac{2\left(x^2+3x+9\right)}{\left(x-3\right)\left(x^2+3x+9\right)}\)-\(\frac{27}{\left(x-3\right)\left(x^2+3x+9\right)}\)=\(\frac{3\left(x-3\right)}{\left(x-3\right)\left(x^2+3x+9\right)}\)
2x2+6x+18-27=3x-9 2x2+6x-3x=27-18-9 2x2+3x=0 x(2x+3)=0 x=0 hoặc 2x+3=0 x=0 hoặc x=\(\frac{-3}{2}\)x^3+27=27=9-x^2
x^3+27=27
x=0
=>27=9-0^2
=>27=9
=>x không tồn tại
tìm x biết (x+3)(x^2-3x+9)-x(x^2-9)=27
\(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x^2-9\right)=27\\ x.x^2-x.3x+x.9-x.x^2+x.9=27\\ x^3-3x^2+9x-x^3+9x=27\\ 3x^2+18x=27\\ 21x^2=27\\ x^2=\dfrac{9}{7}\\ \Rightarrow x=\sqrt{\dfrac{9}{7}}\)
\(\left(x+3\right)\left(x^2-3x+9\right)-x\left(x^2-9\right)=27\\ x.x^2-x.3x+x.9+3.x^2-3.3x+3.9-x.x^2+x.9=27\\ x^3-3x^2+9x+3x^2-9x+27-x^3+9x=27\\ 9x+27=27\\ 9x=0\\ x=0\)