tìm x biết
[(9x + 19) / 9] = 7x/ 9
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\(\text{a)}350:\left[19-\left(7x-3\right)\right]=350\)
\(\Rightarrow19-\left(7x-3\right)=1\)
\(\Rightarrow19-7x+3=1\)
\(\Rightarrow-7x=-21\)
\(\Rightarrow x=3\)
\(\text{b)}7.\left[109-\left(x-9\right)\right]-420=0\)
\(\Rightarrow7\left(109-x+9\right)=420\)
\(\Rightarrow118-x=60\)
\(\Rightarrow x=58\)
\(\text{c)}252-2\left\{200-4\left[90-7.\left(19-9\right)\right]\right\}.x=4\)
\(\Rightarrow2\left\{200-4\left[90-7.10\right]\right\}.x=250\)
\(\Rightarrow\left[200-4\left(90-70\right)\right].x=125\)
\(\Rightarrow\left[200-4.20\right].x=125\)
\(\Rightarrow120x=125\)
\(\Rightarrow x=\frac{125}{120}=\frac{25}{24}\)
\(\text{Xin điểm ạ}\)
350:[19-(7x-3)]=350
[19-(7x-3)]=350:350
[19-(7x-3)]=1
(7x-3)=19-1
(7x-3)=18
7x=18+3
7x=21
x=21:7
x=3
vậy x=3
7.[109-(x-19)]-420=0
7.[109-(x-19)]=0+420
7.[109-(x-19)]=420
[109-(x-19)]=420:7
[109-(x-19)]=60
(x-19)=109-60
(x-19)=49
x=49+19
x=58
vậy x=58
254-2{200-4.[90-7.(19-9)]}.x=4
254-2{200-4.[90-7.10]}.x=4
254-2{200-4.[90-70]}.x=4
254-2{200-4.20}.x=4
254-2{200-80}.x=4
254-2.120.x=4
254-240.x=4
240.x=254-4
240.x=250
x=250:240
x=25/24
vậy x=25/24
a, 7x - 3 = 3x + 1
7x - 3x = 1 + 3
4x = 4
x = 4 : 4
x = 1
b, 2x - 5 - 9x = 9
2x - 9x = 9 + 5
-7x = 14
x = 14 : (-7)
x = -2
c, 4 - (x + 3) = 7 - (2x + 6)
4 - x - x = 7 - 2x - 6
-x - x + 2x = 7 - 6 - 4
0x = -3
Vì 0 nhân cho số nào cũng bằng 0 nên không có giá trị nào của x thỏa mãn
a) 150 : [17 - (2x - 3)] = 350
=> 17 - (2x - 3) = \(\frac{150}{350}=\frac{3}{7}\)
=> 2x - 3 = \(17-\frac{3}{7}=\frac{116}{7}\)
=> 2x = \(\frac{116}{7}+3\)
=> 2x = \(\frac{137}{7}\)
=> x = \(\frac{137}{7}:2=\frac{137}{14}\)
b) 4 . [105 - (x - 9)] - 486 = 0
=> 4. [105 - (x - 9)] = 486
=> 105 - (x - 9) = 243/2
=> x - 9 = \(105-\frac{243}{2}=-\frac{33}{2}\)
=> x = \(-\frac{33}{2}+9=-\frac{15}{2}\)
c) 1000 - 2{600 - 4.[198 - 7.(21 - 7)]}.x = 200
=> 1000 - 2{600 - 4.[198 - 7.14]}.x = 200
=> 1000 - 2{600 - 4.[198 - 98].x = 200
=> 1000 - 2{600 - 4.100}.x = 200
=> 1000 - 2{600 -400}.x = 200
=> 1000 - 2.200.x = 200
=> 2.200.x = 800
=> 400.x = 800
=> x = 2
Câu 2 :
a) 350 : [19 - (7x - 3)] = 350
=> 19 - (7x - 3) = 1
=> 7x - 3 = 18
=> 7x = 21
=> x = 3
b) 7.[109 - (x - 9)] - 420 = 0
=> 7.[109 - (x - 9)] = 420
=> 109 - (x - 9) = 60
=> x - 9 = 49
=> x = 49 + 9 = 58
c) 254 - 2{200 - 4.[90 - 7.(19 - 9)]}.x = 54
=> 254 - 2{200 - 4.[90 - 7.10]}.x = 54
=> 254 - 2{200 - 4[90 - 70]} . x= 54
=> 254 - 2{200 - 4.20} . x = 54
=> 254 - 2{200 - 80}.x = 54
=> 254 - 2.120 . x= 54
=> 2.120.x = 200
=> 240.x = 200
=> \(x=\frac{5}{6}\)
2) \(\frac{1}{5}\sqrt{25x+50}-5\sqrt{x+2}+\sqrt{9x+18}+9=0\)
\(\frac{1}{5}\sqrt{25\left(x+2\right)}-5\sqrt{x+2}+\sqrt{9x+18}+9=0\)
\(\frac{1}{5}.\sqrt{25}.\sqrt{x+2}-5\sqrt{x+2}+\sqrt{9x+18}+9=0\)
\(\frac{1}{5}.5\sqrt{x+2}-5\sqrt{x+2}+\sqrt{9x+18}+9=0\)
\(\frac{1}{5}.5\sqrt{x+2}-5\sqrt{x+2}+\sqrt{9\left(x+2\right)}+9=0\)
\(\frac{1}{5}.5\sqrt{x+2}-5\sqrt{x+2}+\sqrt{9}.\sqrt{x+2}+9=0\)
\(\frac{1}{5}.5\sqrt{x+2}-5\sqrt{x+2}+3\sqrt{x+2}+9=0\)
\(\sqrt{x+2}-5\sqrt{x+2}+3\sqrt{x+2}+9=0\)
\(-\sqrt{x+2}=-9\)
\(x+2=81\)
\(\Rightarrow x=79\)
3) \(\sqrt{x^2-4x+4}=7x-1\)
\(\sqrt{x^2-2.x.2+2^2}=7x-1\)
\(\sqrt{\left(x-2\right)^2}=7x-1\)
\(x-2=7x-1\)
\(-2=7x-1-x\)
\(-2+1=7x-x\)
\(-1=6x\)
\(-\frac{1}{6}=x\)
\(\Rightarrow x=-\frac{1}{6}\)
\(\frac{9x-13}{16}=\frac{7y-11}{19}=\frac{z-5}{3}\)
\(\frac{\left(9x-13\right)\cdot\frac{5}{9}}{16\cdot\frac{5}{9}}=\frac{7y-11}{19}=\frac{3\left(z-5\right)}{3\cdot3}\)
\(\frac{5x-\frac{65}{9}}{\frac{80}{9}}=\frac{7y-11}{19}=\frac{3z-15}{9}\)
Áp dụng tc dãy tỉ số bằng nhau, ta được:
\(\frac{5x-\frac{65}{9}}{\frac{80}{9}}=\frac{7y-11}{19}=\frac{3z-15}{9}=\frac{5x-\frac{65}{9}-7y+11+3z-15}{\frac{80}{9}-19+9}=\frac{\left(5x-7y+3z\right)-\left(\frac{65}{9}-11-15\right)}{\frac{80}{9}-\frac{171}{9}+\frac{81}{9}}\)
\(=\frac{9-\left(\frac{65}{9}-\frac{99}{9}-\frac{135}{9}\right)}{-\frac{10}{9}}=\frac{9+\frac{169}{9}}{-\frac{10}{9}}=-\frac{88}{9}:-\frac{10}{9}=\frac{44}{5}\)
=>x=[(44/5*16)+13]/9=769/45
=>y=[(44/5*19)+11]/7=891/35
=>z=(44/5*3)+5=157/5
hình như sai hay sao, số lớn quá
đây là phần nguyên nha mọi người