x-3/x-5=9/25
1. -2/9 x 15/17 + -2/9 x 2/17
2. -5/3 x 6/5 + -7/9 x 3/10
3. 15/20 x 7/5 + -9/7 x -6/4
4.-25/13 x 5/19 + -25/13 x 14/19
5 -7/13 x 13/5 + -9/7 x 5/3
`1, -2/9 xx 15/17 + (-2/9) xx 2/17`
`= -2/9 xx (15/17 + 2/17)`
`= -2/9 xx 17/17`
`=-2/9xx1`
`=-2/9`
__
`-5/3 xx 6/5 + (-7/9) xx 3/10`
`= -30/15 + (-21/90)`
`= -2 + (-7/30)`
`=-60/30 +(-7/30)`
`=-67/30`
__
`15/20 xx 7/5 + (-9/7) xx (-6/4)`
`=3/4 xx7/5 + (-9/7) xx(-6/4)`
`= 21/20 + 54/28`
`= 21/20 + 27/14`
`=417/140`
__
`-25/13 xx 5/19 + (-25/13) xx 14/19`
`=-25/13 xx (5/19 +14/19)`
`=-25/13 xx 19/19`
`= -25/13 xx 1`
`=-25/13`
__
`-7/13 xx 13/5 + (-9/7) xx 5/3`
`=-7/5 +(-15/7)`
`=-124/35`
cho biểu thức
M = 2 √ x /√ x − 3 − x + 9 √ x/ x − 9 = 2 𝑥/ 𝑥 − 3 − 𝑥 + 9 𝑥 /𝑥 − 9 và N = x + 5 √ x/ x − 25 𝐵 = 𝑥 + 5 𝑥 𝑥 − 25 với x ≥ 0 , x ≠ 9 , x ≠ 25 𝑥 ≥ 0 , 𝑥 ≠ 9 , 𝑥 ≠ 25
1, rút gọn M
2 Tìm các giá trị của x thỏa mãn M/N.(căn x + 3)=3x-5
1) Rút gọn biểu thức M: M = (2√x)/(√x - 3) - (x + 9√x)/(x - 9) = (2√x(x - 9) - (x + 9√x)(√x - 3))/(√x - 3)(x - 9) = (2x√x - 18√x - x√x + 9x + 9x - 27√x - 9√x + 27 )/(√x - 3)(x - 9) = (2x√x - 36√x + 27x)/(√x - 3)(x - 9) = (x(2√x - 36) + 27x) /(√x - 3)(x - 9) = (x(2√x - 36 + 27))/(√x - 3)(x - 9) = (x(2√x - 9))/( √x - 3)(x - 9) Do đó biểu thức M Rút gọn là: M = (x(2√x - 9))/(√x - 3)(x - 9) 2) Tìm các giá trị của x ă mãn M/N.(căn x + 3) = 3x - 5: Ta có phương trình: M/N.(căn x + 3) = 3x - 5 Đặt căn x + 3 = t, t >= 0, ta có x = t^2 - 3 Thay x = t^2 - 3 vào biểu thức M/N, ta có: M/N = [(t^2 - 3)(2√(t^2 - 3) - 9)]/[(t^2 - 3 + 5)t] = [(2(t^2 - 3) √(t^2 - 3) - 9(t^2 - 3))]/(t^3 + 2t - 3t - 6) = [2(t^2 - 3)√(t^2 - 3) - 9(t^2 - 3)]/(t(t - 1)(t + 2)) Đặt u = t^2 - 3, ta có: M/N = [2u√u - 9u]/((u + 3)(u + 2)) = [u(2√u - 9)]/((u + 3)(u + 2)) Đặt v = √u, ta có: M/N = [(v^ 2 + 3)(2v - 9)]/[((v^2 + 3)^2 - 3)(v^2 + 2)] = [(2v^3 - 18v + 6v - 54)]/[ ( (v^4 + 6v^2 + 9) - 3)(v^2 + 2)] = (2v^3 - 12v - 54)/(v^4 + 6v^2 + 6v^2 - 9v^2 + 18) = (2v^3 - 12v - 54)/(v^4 + 12v^2 + 18) Ta cần tìm các giá trị của v đối xứng phương trình M/N = 3x - 5: (2v^3 - 12v - 54)/(v^4 + 12v^2 + 18) = 3(t^2 - 3) - 5 (2v ^3 - 12v - 54)/(v^4 + 12v^2 + 18) = 3t^ 2 - 14 (2v^3 - 12v - 54) = (v^4 + 12v^2 + 18)(3t^2 - 14) Tuy nhiên, từ t = √(t^2 - 3), ta có v = √u = √(t^2 - 3) => (2(v^2)^3 - 12(v^2) - 54) = ((v^2)^4 + 12(v^2)^2 + 18) (3(v^2 - 3) - 14) => 2v^
37 x 5^4 trên 25 ^ 2
2 ^4 x 2^6 x 3^8 x 9^2 trên 4^4 x 3^11
3 x 9^4 x 9^3 trên 3^2 x 9
125 x 5 x 64 - 25^3 x10 x 4 trên 5^7 x 8
\(\dfrac{37\cdot5^4}{25^2}=\dfrac{37\cdot5^4}{5^4}=37\\ \dfrac{2^4\cdot2^6\cdot3^8\cdot9^2}{4^4\cdot3^{11}}=\dfrac{2^{10}\cdot3^8\cdot3^4}{2^8\cdot3^{11}}=2^2\cdot3=12\\ \dfrac{3\cdot9^4\cdot9^3}{3^2\cdot9}=\dfrac{3\cdot3^8\cdot3^6}{3^2\cdot3^2}=3^{11}\\ \dfrac{125\cdot5\cdot64-25^3\cdot10\cdot4}{5^7\cdot8}=\dfrac{5^3\cdot5\cdot2^6-5^6\cdot2\cdot5\cdot2^2}{5^7\cdot2^3}=\dfrac{5^4\cdot2^3\left(2^3-5^3\right)}{5^7\cdot2^3}=\dfrac{8-125}{5^3}=\dfrac{-117}{125}\)
9/25.x+3/5.(9/25+18)+9/25.x+18=x
Tìm x
Ta có: 4x=5y => x/5=y/4=>x2/25=y2/16
ta có:
x2/25=y2/16=x2-y2/25-16=1/9
x^2/25=1/9=>x^2=25/9=>x=5/3
y^2/16=1/9=>y^2=16/9=>y=4/3
tích của chúng bằng:5/3*4/3=20/9
1. -2/9 x 15/17 + -2/9 x 2/17
2. -5/3 x 6/5 + -7/9 x 3/10
3. 15/20 x 7/5 + -9/7 x -6/4
4.-25/13 x 5/19 + -25/13 x 14/19
5 -7/13 x 13/5 + -9/7 x 5/3
6. 27/35 x 5/9 - 2/7 x -7/5
7. 10/13 x 13/5 + {-9/5} x 10/3
8. 100/27 x 9/20 + 40% x 5/3
9. 1,5 x 5/12 + 1/4 x 3/4
10. 2 1/2 x 7/5 + {-9/10} x 2/3
11. X + 45% = 2 1/2 -5/3
12. 80% + X = -5/2 + 3/4
13. 4/25 - X =-5/2 + -3/10
1: =-2/9(15/17+2/17)=-2/9
2: \(=\dfrac{-6}{3}+\dfrac{-21}{90}\)
=-2-7/30=-67/30
3: \(=\dfrac{3}{4}\cdot\dfrac{7}{5}+\dfrac{9}{7}\cdot\dfrac{3}{2}\)
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
1: =-2/9(15/17+2/17)=-2/9
2: =34⋅75+97⋅32=34⋅75+97⋅32
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
\(\frac{9}{25}x+\frac{3}{5}\left(\frac{9}{25}x+18\right)+\frac{9}{25}x+18=x\)
Ta có \(\frac{9}{25}x+\frac{3}{5}.\frac{9}{25}x+\frac{3}{5}.18+\frac{9}{25}x+18=x\)
=> \(\frac{9}{25}x\left(1+\frac{3}{5}+1\right)+18\left(\frac{3}{5}+1\right)=x\)
=> \(\frac{117}{125}x+28,8=x\)
=> \(x-\frac{117}{125}x=28,8\)
=> \(\frac{8}{125}x=28,8\)
=> x = 450
Vậy x = 450
\(\frac{9}{25}x+\frac{3}{5}.\frac{9}{25}x+\frac{3}{5}.18+\frac{9}{25}x+18=x\)
\(x\left(\frac{9}{25}+\frac{9}{25}+\frac{9}{25}\right).\frac{3}{5}+\frac{3}{5}.18+18=x\)
\(x.\frac{3}{5}\left(\frac{27}{25}+18\right)+18=x\)
\(x.\frac{3}{5}\left(\frac{27}{25}+\frac{450}{25}\right)+18=x\)
\(x.\frac{3}{5}.\frac{477}{25}+18=x\)
\(x.\frac{1431}{125}+\frac{2250}{125}=x\)
\(x.\frac{3681}{125}=x\)
vậy chac tui làm sai rồi
11×(x-9)+22=99
4×(x-3)+1=49
25+3×(x-8)=106
9×(x-4)-25=20
5+20÷(x+3)=7
25-14÷(2×X-3)=23
5+4×(2×X-3)=25
40-21÷(2×X+3)=33
1. 11(x-9)=77
x-9=7
x=16
2. 4(x-3)=48
x-3=12
x=15
3.3(x-8)=81
(x-8)=27
x=35
\(40-21:\left(2.x+3\right)=33\)
\(21:\left(2.x+3\right)=40-33\)
\(21:\left(2.x+3\right)=7\)
\(\left(2.x+3\right)=21:7\)
\(\left(2.x+3\right)=3\)
\(2.x=3-3\)
\(2.x=0\)
\(x=0:2\)
\(x=0\)
x/3=7/25+ -1/5
4/9 + x/5 =5/11
-5/9 + x/10=1/3
\(\dfrac{x}{3}=\dfrac{7}{25}-\dfrac{1}{5}\Leftrightarrow\dfrac{25x}{75}=\dfrac{21}{75}-\dfrac{15}{75}\Leftrightarrow25x=21-15\Rightarrow25x=6\Rightarrow x=0,24\)
a) Ta có: \(\dfrac{x}{3}=\dfrac{7}{25}+\dfrac{-1}{5}\)
\(\Leftrightarrow\dfrac{x}{3}=\dfrac{7}{25}+\dfrac{-5}{25}=\dfrac{2}{25}\)
hay \(x=\dfrac{6}{25}\)
Vậy: \(x=\dfrac{6}{25}\)
b) Ta có: \(\dfrac{4}{9}+\dfrac{x}{5}=\dfrac{5}{11}\)
\(\Leftrightarrow\dfrac{x}{5}=\dfrac{5}{11}-\dfrac{4}{9}=\dfrac{45}{99}-\dfrac{44}{99}=\dfrac{1}{99}\)
hay \(x=\dfrac{5}{99}\)
Vậy: \(x=\dfrac{5}{99}\)
x/3=7/25+ -1/5
4/9 + x/5 =5/11
-5/9 + x/10=1/3
help
x/3=7/15+-1/5
x/3=2/15
5x/15=2/15
5x=2
x=2/5
x= 2/5
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