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Câu a:
\(\frac{x+5}{x+9}\) = \(\frac{x+4}{x+3}\)
(\(x\) + 5)(\(x+3\)) = (\(x+4\))(\(x+9\))
\(x^2\) + 3\(x\) + 5\(x\) + 15 = \(x^2\) + 9\(x\) + 4\(x\) + 36
\(x^2+3x+5x\) - \(x^2-9x\) - 4\(x\) = 36 - 15
(\(x^2-x^2\)) + (\(3x+5x\) - 9\(x-4x\)) = 21
0 + (8\(x\) - 9\(x\) - 4\(x\)) = 21
-\(x-4x\) = 21
-5\(x\) = 21
\(x\) = 21 : (-5)
\(x\) = - \(\frac{21}{5}\)
Vậy \(x=-\frac{21}{5}\)
Câu a:
- \(\frac12\)(3 - 2\(x\)) - 7 = 5 - \(\frac13\)(\(x\) - \(\frac45\))
- \(\frac32\) + \(x\) - 7 = 5 - \(\frac13x\) + \(\frac{4}{15}\)
\(x\) + \(\frac13x\) = 5 + \(\frac{4}{15}\) + 7 + \(\frac32\)
(1 + \(\frac13\))\(x\) = \(\frac{150}{30}\) + \(\frac{8}{30}\) + \(\frac{210}{30}\) + \(\frac{45}{30}\)
\(\frac43x\) = \(\frac{158}{30}\) + \(\frac{210}{30}\) + \(\frac{45}{30}\)
\(\frac43x\) = \(\frac{368}{30}\) + \(\frac{45}{30}\)
\(\frac43x\) = \(\frac{413}{30}\)
\(x\) = \(\frac{413}{30}\) : \(\frac43\)
\(x\) = \(\frac{413}{40}\)
Vậy \(x=\frac{413}{40}\)
Câu b:
(5 - 3x/2) : - 1 3/8 = - 7 1/3
(5 - 3x/2) : (-11/8) = - 22/3
5 - 3x/2 = - 22/3 x (-11/8)
5 - 3x/2 = 121/12
3x/2 = 5 - 121/12
3x/2 = - 61/12
x = - 61/12 : 3/2
x = -61/18
Vậy x = - 61/18
\(\dfrac{1}{7}=\dfrac{8}{-x}\)=> \(-x=56\)
=> \(x=56\)
2) => 18x = 18
=> x = 1
3) \(\dfrac{-4}{3}+x=\dfrac{-11}{6}\)
=> \(x=\dfrac{-11}{6}+\dfrac{4}{3}\)
=> \(x=\dfrac{-1}{2}\)
4) 45%.x =\(\dfrac{3}{5}\)
=> \(x=\dfrac{3}{5}:\dfrac{9}{20}\)
=> \(x=\dfrac{4}{3}\)
Nhiều thế bạn. Rút kinh nghiệm mỗi lần đăng lên ít thôi đăng nhiều người khác nhìn thấy ngại sẽ ko làm đâu.
Tự mầy mò làm nhé
a)-45-I-3x-96I-54=-207
-45-I-3x-96I =-207+54
-45-I-3x-96I =-153
I-3x-96I =-45-(-153)
I-3x-96I =108
Tach ra 2 truong hop
-3x-96=108 hay -3x-96=-108
-3x =108+96 -3x =-108+96
-3x =204 -3x =-12
x =204:(-3) x =-12:(-3)
x =-68 x =4
c)4:Ix-4/5I.(36/5-3,5)=74/25
4:Ix-4/5I.37/10 =74/25
4:Ix-4/5I =74/25:37/10
4:Ix-4/5I =4/5
Ix-4/5I =4:4/5
Ix-4/5I =5
Tach ra 2 truong hop
x-4/5=5 hay x-4/5=-5
x =5+4/5 x =-5+4/5
x =29/5 x =-21/5
d)II3x-2I+7I=17
Tach ra 2 truong hop
I3x-2I+7=17 hay I3x-2I+7=-17
I3x-2I =17-7 I3x-2I =-17-7
I3x-2I =10 I3x-2I =-24
Tach ra 2 truong hop Tach ra 2 truong hop
3x-2=10 hay 3x-2=-10 3x-2=-24 hay 3x-2=24
3x =10+2 3x =-10+2 3x =-24+2 3x =24+2
3x =12 3x =-8 3x =-22 3x =26
x =12:3 x =-8:3 x =-22:3 x =26:3
x =4 x =-8/3 x =-22/3 x =26/3
e) giong cau d
g) khong biet cach giai chi biet co 2 ket qua la -28 va 6
i) ___________________________1_________-1
k) ______ co dap an
m)Ix+1I+3x=-7
___________________________2__________-3
\(a.97-7\left(x-8\right)=3\cdot2^4\)
\(97-7\left(x-8\right)=48\)
\(7\left(x-8\right)=97-48\)
\(7\left(x-8\right)=49\)
\(x-8=49:7=7\)
\(x=7+8=15\)
\(b.5x^2-74=51\)
\(5x^2=51+74=125\)
\(x^2=125:5=25\)
\(\Rightarrow x=\pm5\)
\(c.3x+2-3x=216\)
\(0x=214\)
⇒ \(x\in\) rỗng
\(5\left(3x-4\right)^3=40\)
\(\left(3x-4\right)^3=40:5=8\)
⇒ 3x - 4 = 2
⇒ 3x = 2 + 4 = 6
⇒ x = 6 : 3 = 2
a.97−7(x−8)=3⋅24
\(97 - 7 \left(\right. x - 8 \left.\right) = 48\)
\(7 \left(\right. x - 8 \left.\right) = 97 - 48\)
\(7 \left(\right. x - 8 \left.\right) = 49\)
\(x - 8 = 49 : 7 = 7\)
\(x = 7 + 8 = 15\)
\(b . 5 x^{2} - 74 = 51\)
\(5 x^{2} = 51 + 74 = 125\)
\(x^{2} = 125 : 5 = 25\)
\(\Rightarrow x = \pm 5\)
\(c . 3 x + 2 - 3 x = 216\)
\(0 x = 214\)
⇒ \(x \in\) rỗng
\(5 \left(\left(\right. 3 x - 4 \left.\right)\right)^{3} = 40\)
\(\left(\left(\right. 3 x - 4 \left.\right)\right)^{3} = 40 : 5 = 8\)
⇒ 3x - 4 = 2
⇒ 3x = 2 + 4 = 6
⇒ x = 6 : 3 = 2
1: \(97-7\left(x-8\right)=3\cdot2^4\)
=>\(97-7\left(x-8\right)=3\cdot16=48\)
=>7(x-8)=97-48=49
=>x-8=7
=>x+8=15
2: \(5x^2-74=51\)
=>\(5x^2=51+74=125\)
=>\(x^2=25\)
=>\(\left[\begin{array}{l}x=5\\ x=-5\end{array}\right.\)
3: \(3x^2-3x=216\)
=>\(x^2-x=72\)
=>\(x^2-x-72=0\)
=>(x-9)(x+8)=0
=>\(\left[\begin{array}{l}x-9=0\\ x+8=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=9\\ x=-8\end{array}\right.\)
4: \(5\left(3x-4\right)^3=40\)
=>\(\left(3x-4\right)^3=\frac{40}{5}=8=2^3\)
=>3x-4=2
=>3x=6
=>x=2