Tim x,y,z biet:
a, 2x+80= 3y
b,10x+48=y2
c, 2x+2y+2z= 2336 ( x<y<z)
d, 2x+1.3y=12z
e, 10x:5y=
f, 2x+2y=2x+y
g, 2x-2y=256
ai nhanh mik tick
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a, \(\left|2x+1\right|=3\)
=> 2x + 1 = 3 hoặc 2x + 1 = -3
=> 2x = 3 - 1 hoặc 2x = -3 - 1
=> 2x = 2 hoặc 2x = -4
=> x = 1 hoặc x = -2
b, \(2\frac{1}{2}x+1\frac{1}{2}=2\frac{2}{3}\)
=> \(\frac{5}{2}x+\frac{3}{2}=\frac{8}{3}\)
=> \(\frac{5}{2}x=\frac{8}{3}-\frac{3}{2}\)
=> \(\frac{5}{2}x=\frac{16-9}{6}\)
=> \(\frac{5}{2}x=\frac{7}{6}\)
=> \(x=\frac{7}{6}:\frac{5}{2}=\frac{7}{6}\cdot\frac{2}{5}=\frac{7}{3}\cdot\frac{1}{5}=\frac{7}{15}\)
c, \(3\cdot5^{x-3}+1=16\)
=> 3 . 5x-3 = 16 - 1
=> 3 . 5x-3 = 15
=> 5x-3 = 15 : 3
=> 5x-3 = 5
=> x - 3 = 5 : 5
=> x - 3 = 1
=> x = 1 + 3 = 4
d, \((x-1)^2=25\)
=> \((x-1)^2=5^2\)
=> x - 1 = 5 hoặc x - 1 = -5
=> x = 6 hoặc x = -4
e, \((-2)^2+\left|3x+1\right|=(-28)\cdot7\)
=> 4 + |3x + 1| = -196
=> |3x + 1| = -196 - 4 = -200
=> |3x + 1| = -200
Không thỏa mãn điều kiện
\(\text{a) }3x^2+x-2\)
\(=3x^2+3x-2x-2\)
\(=\left(3x^2+3x\right)-\left(2x+2\right)\)
\(=3x\left(x+1\right)-2\left(x+1\right)\)
\(=\left(x+1\right)\left(3x-2\right)\)
b) \(5x^2-18x-8\)
\(=5x^2-20x+2x-8\)
\(=5x\left(x-4\right)+2\left(x-4\right)\)
\(=\left(5x+2\right)\left(x-4\right)\)
a) \(x^2-x-xy-2y^2+2y\)
\(=x^2-x-2xy+xy-2y^2+2y\)
\(=\left(-2y^2-2xy+2y\right)+\left(xy+x^2-x\right)\)
\(=2y\left(-y-x+1\right)+x\left(y+x-1\right)\)
\(=-2y\left(y+x-1\right)+x\left(y+x-1\right)\)
\(=\left(x-2y\right)\left(y+x-1\right)\)
b) \(x^2+4xy+2x+3y^2+6y\)
\(=x^2+3xy+xy+2x+3y^2+6y\)
\(=\left(3y^2+3xy+6y\right)+\left(xy+x^2+2x\right)\)
\(=3y\left(y+x+2\right)+x\left(y+x+2\right)\)
\(=\left(3y+x\right)\left(y+x+2\right)\)
\(c=5+5^2+5^3+...+5^{20}\)
\(c=5.1+5.5+5.5^2+...+5.5^{19}\)
\(c=5.\left(1+5+5^2+...+5^{19}\right)\)chia hết cho 5
#Học tốt
Ta có : \(\frac{a}{b}=\frac{c}{d}\Rightarrow\frac{a}{c}=\frac{b}{d}\)
=> \(\frac{a}{c}=\frac{3a}{3c}=\frac{b}{d}=\frac{3a+b}{3c+d}\)
=> \(\frac{a}{3a+b}=\frac{c}{3c+d}\).