x-6=1511+1206
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a ) x − 1 2 = 7 13 . 13 28 ; x − 1 2 = 1 4 b ) x 15 = − 3 11 . 77 36 ; x 15 = − 7 12 ; x = 15. − 7 12 c ) x + 7 7 = 9 18 . 9 27 ; x + 1 = 1 6 d ) x : 15 11 = − 3 12 .8 ; x : 15 11 = − 2 ; x = ( − 2 ) . 15 11
1206 : x + 342 : x = 6 24 x X - 15 x X = 1980
=> ( 1206 + 342 ) : x = 6 => ( 24 - 15 ) x X = 1980
=> 1548 : x = 6 => 9 x X = 1980
=> x = 1548 : 6 => x = 1980 : 9
=> x = 258 => x = 220
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a)1206/x+342/x=6
1206*1/x+342*1/x=6
(1206+342)*1/x=6
1548*1/x=6
1/x=1548/6
1/x=258
x=1/258
b)24*x-15*x=1980
(24-15)*x=1980
9*x=1980
x=1980/9
x=220
5: (x-1)(x-5)=(x-1)(x-2)
=>(x-1)(x-5)-(x-1)(x-2)=0
=>(x-1)(x-5-x+2)=0
=>-3(x-1)=0
=>x-1=0
=>x=1
6: \(6\left(x-3\right)\left(x-4\right)-6x\left(x-2\right)=4\)
=>\(6\left(x^2-7x+12\right)-6x^2+12x=4\)
=>\(6x^2-42x+72-6x^2+12x=4\)
=>-30x=4-72=-68
=>\(x=\frac{68}{30}=\frac{34}{15}\)
7: -(x+3)(x-4)+(x+1)(x-1)=10
=>\(-\left(x^2-x-12\right)+x^2-1=10\)
=>\(-x^2+x+12+x^2-1=10\)
=>x+11=10
=>x=-1
8: (2x-1)(x-2)-(2x-7)(x+3)=3
=>\(2x^2-4x-x+2-\left(2x^2+6x-7x-21\right)=3\)
=>\(2x^2-5x+2-\left(2x^2-x-21\right)=3\)
=>\(2x^2-5x+2-2x^2+x+21=3\)
=>-4x+23=3
=>-4x=-20
=>x=5
9: \(\left(x-5\right)\left(4-x\right)-\left(x-1\right)\left(x+3\right)=-2x^2\)
=>\(-\left(x^2-9x+20\right)-\left(x^2+2x-3\right)=-2x^2\)
=>\(-x^2+9x-20-x^2-2x+3=-2x^2\)
=>7x-17=0
=>7x=17
=>x=17/7
10: (4x+1)(x-3)-(x-7)(4x-1)=15
=>\(4x^2-12x+x-3-\left(4x^2-x-28x+7\right)=15\)
=>\(4x^2-11x-3-4x^2+29x-7=15\)
=>18x-10=15
=>18x=25
=>x=25/18
11: \(\left(x+1\right)\left(x^2-x+1\right)-x\left(x^2-3\right)=4\)
=>\(x^3+1-x^3+3x=4\)
=>3x=4-1=3
=>x=1
12: \(\left(x-3\right)\left(x^2+3x+9\right)+x\left(5-x^2\right)=6x\)
=>\(x^3-27+5x-x^3=6x\)
=>6x=5x-27
=>x=-27
13: (3x-5)(x+1)-(3x-1)(x+1)=x-4
=>(x+1)(3x-5-3x+1)=x-4
=>-4(x+1)=x-4
=>-4x-4=x-4
=>-4x-x=0
=>-5x=0
=>x=0
14; 5(x-3)(x-7)-(5x+1)(x-2)=8
=>\(5\left(x^2-10x+21\right)-\left(5x^2-10x+x-2\right)=8\)
=>\(5x^2-50x+105-5x^2+9x+2=8\)
=>-41x=8-2-105=6-105=-99
=>x=99/41
a)3/7x=8/13y=6/19z và 2x-y-z =-6
b)x/8=y/3=7/10 va xy+yz+zx=1206
c) x/4=2y/5=5z/6 và x2- 3y2+2z2=325
a) \(\frac{3}{7}x=\frac{8}{13}y=\frac{6}{19}z\) và 2x-y-z =-6
=)\(\frac{x}{\frac{7}{3}}=\frac{y}{\frac{13}{8}}=\frac{z}{\frac{19}{6}}=\frac{2x}{\frac{14}{3}}=\frac{y}{\frac{13}{8}}=\frac{z}{\frac{19}{6}}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{2x}{\frac{14}{3}}=\frac{y}{\frac{13}{8}}=\frac{z}{\frac{19}{6}}=\frac{2x-y-z}{\frac{14}{3}-\frac{13}{8}-\frac{19}{6}}=\frac{-6}{\frac{-3}{24}}=48\)
\(\Rightarrow\frac{x}{\frac{7}{3}}=48\Rightarrow x=48\times\frac{7}{3}=112\)
\(\Rightarrow\frac{y}{\frac{13}{8}}=48\Rightarrow y=48\times\frac{13}{8}=78\)
\(\Rightarrow\frac{z}{\frac{19}{6}}=48\Rightarrow z=48\times\frac{19}{6}=152\)
Vậy x=112;y=78;z=152

x - 16 = 1511 + 1206
<=> x - 16 = 2717
<=> x = 2717 + 16
<=> x = 2733
x - 6 =1511 + 1206
x - 6 = 2717
x = 2717 + 6
x = 2723