2^x+2^x+1=96
Điền Đ hoặc S
a) 96 : 4 x 2 = 24 x 2 = 48
b) 96 : 4 x 2 = 96 : 8 = 12
c) 96 : (4 x 2 ) = 96 : 8 = 12
2^4x:2^x:2^(x+1)=96-2^2(x+1)
2^x +2^x+1 =96
\(2^x+2^{x+1}=96\\ 2^x+2^x.2=96\\ 2^x.\left(1+2\right)=96\\ 2^x=96:3\\ 2^x=32\\ 2^x=2^5\\ x=5\)
1) Tính
A = 200 - 199 + 198 - 197 +.... + 2 - 1
B = 30 + 36 + 42 +...90 + 96 + 10
2) Tìm x :
a) 2x+1 + 2 x = 96
b) (x+1) + (x+2) + (x+3) + (x+4) + (x+5)
Điền Đ, S
a. 96 : 4 x 2 = 24 x 2
= 48
b. 96 : 4 x 2 = 96 : 8
= 12
a)(3/2 x - 1/5)2. (x2 + 1/2) = 0
b)x + 1/99 + x + 2/98 + X+3/97 + x + 4/96 = -4
a: Ta có: \(\left(\dfrac{3}{2}x-\dfrac{1}{5}\right)^2\cdot\left(x^2+\dfrac{1}{2}\right)=0\)
\(\Leftrightarrow x\cdot\dfrac{3}{2}=\dfrac{1}{5}\)
hay \(x=\dfrac{1}{5}:\dfrac{3}{2}=\dfrac{2}{15}\)
b: Ta có: \(\dfrac{x+1}{99}+\dfrac{x+2}{98}+\dfrac{x+3}{97}+\dfrac{x+4}{96}=-4\)
\(\Leftrightarrow x+100=0\)
hay x=-100
96/x^2-16+7+x/4-x=2x-1/x+4-3
2/x-1 +3/x-2 =3/x-3
1/x+1+5-x/x-2=3/x^2-x-2-1
a: \(\dfrac{96}{\left(x-4\right)\left(x+4\right)}+\dfrac{7+x}{4-x}=\dfrac{2x-1}{x+4}-3\)
\(\Leftrightarrow\dfrac{96}{\left(x-4\right)\left(x+4\right)}-\dfrac{\left(x+7\right)\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}=\dfrac{\left(2x-1\right)\left(x-4\right)}{\left(x+4\right)\left(x-4\right)}-\dfrac{3\left(x-4\right)\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}\)
Suy ra: \(96-x^2-11x-28=2x^2-9x+4-3\left(x^2-16\right)\)
\(\Leftrightarrow-x^2-11x+68=2x^2-9x+4-3x^2+48\)
\(\Leftrightarrow-x^2-11x+68=-x^2-9x+52\)
=>-11x+68=-9x+52
=>-2x=-16
hay x=8(nhận)
b: \(\dfrac{2}{x-1}+\dfrac{3}{x-2}=\dfrac{3}{x-3}\)
\(\Leftrightarrow2\left(x-2\right)\left(x-3\right)+3\left(x-1\right)\left(x-3\right)=3\left(x-1\right)\left(x-2\right)\)
\(\Leftrightarrow2\left(x^2-5x+6\right)+3\left(x^2-4x+3\right)=3\left(x^2-3x+2\right)\)
\(\Leftrightarrow2x^2-10x+12+3x^2-12x+9=3x^2-9x+6\)
\(\Leftrightarrow5x^2-22x+21-3x^2+9x-6=0\)
\(\Leftrightarrow2x^2-13x+15=0\)
\(\Leftrightarrow2x^2-10x-3x+15=0\)
=>(x-5)(2x-3)=0
=>x=5(nhận) hoặc x=3/2(nhận)
Tính rồi điền dấu thích hợp
a. 96 : 8 : 2 =
96 : ( 8 x 2 ) =
96 : 8 : 2 ...... 96 : ( 8 x 2 )
b. 81 : 9 : 3 =
81 : ( 9 x 3 ) =
81 : 9 : 3 ........ 81 : ( 9x 3)
a. 96 : 8 : 2 = 6
96 : ( 8 x 2 ) = 6
96 : 8 : 2 = 96 : ( 8 x 2 )
b. 81 : 9 : 3 = 3
81 : ( 9 x 3 ) = 3
81 : 9 : 3 = 81 : ( 9x 3)
1,tính: A=100 +98+96+......................+2 - 97 - 95 - ..................- 1
2,tìm x: x+ (x+1) + (x+2) + ..............................+ (x+49) = 1425
A = ( 100 + 98 + 96 + ... + 2 ) - ( 97 + 95 + ... + 1 )
Xét vế trái :
SSH là : ( 100 - 2 ) : 2 + 1 = 50 ( số )
Tổng là : ( 100 + 2 ) . 50 : 2 = 2550
Xét vế phải :
SSH là : ( 97 - 1 ) : 2 + 1 = 50 ( số )
Tổng là : ( 97 + 1 ) . 50 : 2 = 2450
=> A = 2550 - 2450
=> A = 100
x + x + 1 + x + 2 + ... + x + 49 = 1425
( x + x + ... + x ) + ( 1 + 2 + ... + 49 ) = 1425
Vế phải bạn tính tương tự như ở câu 1), sau đó ta có :
50x + 1225 = 1425
50x = 200
x = 4
Vậy,.........