4 x ( X - 1 ) = 4+ 8 + 12 + 16 + ... + 400
a) x-12=-9+15
b)4x -12=400
c)2x -35=15
d)3x+17=2
e)-5/8=x/16
f)y/10=-4/8
a) x-12=-9+15
x-12=24
x=24+12
x=36
Vậy x=36
b)4x -12=400
4x=412
x=412:4
x=103
Vậy x=103
c)2x -35=15
2x=50
x=50:2
x=15
Vậy x=15
d)3x+17=2
3x=-15
x=(-15):3
x=-5
Vậy x=-5
e)\(\frac{-5}{8}=\frac{x}{16}\)
\(\Rightarrow\left(-5\right).16=8.x\)
\(\Rightarrow8x=-80\)
\(\Rightarrow x=-10\)
f)\(\frac{y}{10}=-\frac{4}{8}\)
\(\Rightarrow8y=\left(-4\right).10\)
\(\Rightarrow8y=-40\)
\(\Rightarrow y=-5\)
a) x - 12 = -9 + 15
=> x - 12 = 6
=> x = 6 + 12 = 18
b) 4x - 12 = 400
=> 4x = 400 + 12 = 412
=> x = 412 : 4 = 103
c) 2x - 35 = 15
=> 2x = 15 + 35 = 50
=> x = 50 : 2 = 25
d) 3x + 17 = 2
=> 3x = 2 - 17
=> 3x = -15
=> x = -15 : 3 = -5
e) \(\frac{-5}{8}=\frac{x}{16}\)
\(=>\frac{-10}{16}=\frac{x}{16}\)
=> x = -10
f) \(\frac{y}{10}=\frac{-4}{8}\)
\(=>\frac{y}{10}=\frac{-1}{2}\)
\(=>\frac{y}{10}=\frac{-5}{10}\)
=> y = -5
a) x - 12 = -9 + 15
x - 12 = 6
x = 12 + 6
x = 18
b) 4x - 12 = 400
4x = 412
x = 412 : 4
x = 103
c) 2x - 35 = 15
2x = 50
=> x = 25
d) 3x + 17 = 2
=> 3x = -15
=> x = -5
e) -5/8 = x/16
=> -10/16 = x/16
=> x = -10
y/10 = -4/8
=> y/10 = -40/80
=> y/10 = -5/10
=> y = -5
2 tính : a) 1+1/4+1/8+1/16 =
=
b) 2-1/8-1/12-1/16 =
=
c) 4/99 x 18/5 : 12/11 + 3/5 =
=
d) ( 1-3/4 ) x ( 1+ 1/3 ) : ( 1- 1/3 ) =
=
a) 1 + 1/4 + 1/8 + 1/16
= 16/16 + 4/16 + 2/16 + 1/16
= 23/16
b) 2 - 1/8 - 1/12 - 1/16
= 96/48 - 6/46 - 4/48 - 3/48
= 83/48
c) 4/99 × 18/5 : 12/11 + 3/5
= 8/55 : 12/11 + 3/5
= 2/15 + 3/5
= 2/15 + 9/15
= 11/15
d) (1 - 3/4) × (1 + 1/3) : (1 - 1/3)
= 1/4 × 4/3 : 2/3
= 1/3 : 2/3
= 2
1 + 1/4 + 1/8 + 1/16
= 16 + 4 + 2 + 1 / 16
=23/16
2-1/8-1/12-1/16
= 96 - 6 - 4 - 3 / 48
= 83 / 48
4/99 x 18/5 : 12 /11 + 3/5
= 4/99 x 18/5 x 11/12 + 3/5
= 2/15 + 3/5
= 11/15
(1 - 3/4) x (1+1/3) : (1-1/3)
= 1/4 x 4/3 : 2/3
= 1/4 x 4/3 x 3/2
= 1/2
1 x 2 + 2 x 4 + 3 x 6 + 4 x 8 + 5 x 10 / 3 x 4 + 6 x 8 + 9 x 12 + 12 x 16 + 15 x 20
Ta có :1.2+2.4+3.6+4.8+5.10/3.4+6.8+9.12+12.16+15.20=[1.2(1+4+9+...+25)]/[3.4(1+4+9+16)]
=(1.2)/(3.4)=2/12=1/6
CHÚC BẠN HỌC TỐT!!
cho tớ nhé!!!!
=2+8+18+32+50/12+48+108+192+300
=110/660
=0.166666667\
Tinh gia tri cua phan so: A= 2 x 3 + 2 x 4 x 8 + 4 x 8 x 16 + 8 x 16 x 32/ 3x 4 + 2 x 6 x 8 + 4 x 12 x 16 + 8 x 24 x 32
Tính bằng cách thuận tiện nhất:
a) 16, 2 x 3, 7 + 5, 7 x 16, 2 - 7, 8 x 4, 8 - 4, 6 x 7, 8 : 11, 2 + 12, 3 + 13, 4 - 12, 6 - 11, 5 - 10, 4
Bài 1. Rút gọn và tính
a) 8/12 + 9/27 x 4/7
b) 8/16 x 36/45 - 4/25
a) 8/12 + 9/27 x 4/7
= 2/3 + 1/3 x 4/7
= 2/3 + 4/21
= 18/21
= 6/7
b) 8/16 x 36/45 - 4/25
= 1/2 x 4/5 - 4/25
= 2/5 - 4/25
= 6/25
a) 2/3+ 1/3x 4/7
= 2/3 + 4/21
= 14/21+ 4/21
= 18/21
= 6/7
b) 1/2x 4/5 - 4/25
= 2/5- 4/25
= 10/25 - 4/25
=6/25
1. tính nhanh
A= 8 x 12 x 32 + 4 x 27 x 24 + 41 x 4 x 16
dễ mà,tách từng tích ra 1 thừa số chung là:4 thì ra thôi
A = 8 . 12 . 32 + 4 . 27 . 24 + 41 .4 . 16
A = 96 . 32 + 96 . 27 + 41 . 4 . 16
A = 96 ( 32 + 27 ) +41 . 4 . 16
A = 96 . 59 + 41 . 64
A = 32 . 3 . 59 + 41 . 32 . 2
A = 32 ( 3 + 59 + 41 + 2 )
A = 32 . 105
A = 3360
Bài 1:
a) \(\dfrac{3-x}{12}=\dfrac{2x+2}{8}\)
b) \(\dfrac{x+3}{x-4}+\dfrac{x-3}{x+4}=\dfrac{2\left(x^2+12\right)}{x^2-16}\)
a/ \(\dfrac{3-x}{12}=\dfrac{2x+2}{8}\)
\(< =>\dfrac{2\left(3-x\right)}{24}=\dfrac{3\left(2x+2\right)}{24}\)
\(< =>6-2x-6x-6=0\)
\(< =>-8x=0\)
\(< =>x=0\)
Vậy tập nghiệm.....
b/ \(\dfrac{x+3}{x-4}+\dfrac{x-3}{x+4}=\dfrac{2\left(x^2+12\right)}{x^2-16}\)
Tìm ĐKXĐ của pt là: \(x\ne\pm4\) (làm tắt, bạn làm rõ ra nhé)
\(\dfrac{x+3}{x-4}+\dfrac{x-3}{x+4}=\dfrac{2\left(x^2+12\right)}{x^2-16}\)
\(< =>\dfrac{\left(x+3\right)\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}+\dfrac{\left(x-3\right)\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}=\dfrac{2\left(x^2+12\right)}{\left(x+4\right)\left(x-4\right)}\)
\(< =>x^2+3x+4x+12+x^2-3x-4x+12-2x^2-24=0\)
\(< =>0x=0\)
=> x có vô số nghiệm
Vậy ....
a) `(3-x)/12=(2x+2)/8`
`<=> (3-x)/12 =(x+1)/4`
`<=> 3-x=3(x+1)`
`<=>3-x=3x+3`
`<=> x=0`
Vậy `S={0}`.
b) ĐK: `x \ne \pm 4`
`(x+3)/(x-4)+(x-3)/(x+4)=(2(x^2+12))/(x^2-16)`
`<=> (x+3)(x+4)+(x-3)(x-4)=2(x^2+12)`
`<=> x^2+7x+12+x^2-7x+12=2x^2+24`
`<=> 0x=0`
Vậy PT có nghiệm với mọi x thỏa mãn điều kiện.
\(\dfrac{x+3}{x-4}+\dfrac{x-3}{x+4}=\dfrac{2\left(x^2+12\right)}{x^2-16}\)
⇔\(\dfrac{\left(x+3\right)\left(x+4\right)}{\left(x-4\right)\left(x+4\right)}+\dfrac{\left(x-3\right)\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}=\dfrac{2\left(x^2+12\right)}{\left(x-4\right)\left(x+4\right)}\)
⇔\(\dfrac{x^2+4x+3x+12}{\left(x-4\right)\left(x+4\right)}+\dfrac{x^2-4x-3x+12}{\left(x-4\right)\left(x+4\right)}=\dfrac{2x^2+24}{\left(x-4\right)\left(x+4\right)}\)
⇔\(\dfrac{x^2+7x+12}{\left(x-4\right)\left(x+4\right)}+\dfrac{x^2-7x+12}{\left(x-4\right)\left(x+4\right)}=\dfrac{2x^2+24}{\left(x-4\right)\left(x+4\right)}\)
⇒ \(x^2+7x+12+x^2-7x+12=2x^2+24\)
⇔ \(2x^2+24=2x^2+24\)
⇔ \(2x^2-2x^2=24-24\)
⇔ x=0
3+x/7+y=3/7 và x+y=20
A=2*4+2*4*8+4*8*16+8*16*32/3*4+2*6*8+4*12*16+8*24*32