a=b.c=43
c=?
a=?
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a, 64,307 + 5,347 = 69,654
b, 809,3 – 25,48 = 783,82
c, 2,108 x 43 = 90,644
d, 864 : 2,4 = 360
Tách ?
`a, 70 -5.(x-3) =45`
`=> 5.(x-3)= 70-45`
`=> 5.(x-3)=25`
`=>x-3=25:5`
`=>x-3=5`
`=>x= 5+3`
`=>x=8`
______
`b,10 + 2.x = 4^5:4^3`
`=> 10 + 2.x = 4^(5-3)`
`=> 10 + 2.x =4^2=16`
`=> 2.x=16-10`
`=>2.x=6`
`=>x=6:2`
`=>x=3`
_____
`c,60-3.x-2=51`
`=> 60-3.x= 51+2`
`=> 60-3.x=53`
`=>3.x=60-53`
`=> 3.x= 7`
`=>x= 7/3`
____
`d, 4.x-20=2^5:2^3`
`=> 4.x-20=2^(5-3)`
`=> 4.x-20=2^2`
`=> 4.x= 4+20`
`=>4.x=24`
`=>x=24:4`
`=>x=6`
____
`2^x . 4=16`
`=> 2^x=16:4`
`=>2^x= 4`
`=>2^x=2^2`
`=>x=2`
____
`f, 3^x . 3=243`
`=>3^x=243:3`
`=> 3^x=81`
`=> 3^x=3^3`
`=>x=3`
_____
`g, 64. 4^x =16^8`
`=> 4^3 . 4^x=(4^2)^8`
`=> 4^3 . 4^x = 4^(16)`
`=> 4^x= 4^(16-3)`
`=>4^x=4^(13)`
`=>x=13`
_____
`2^x . 16^2 =1024`
`=> 2^x= 1024 : 16^2`
`=>2^x=4`
`=>2^x=2^2`
`=>x=2`
a: =>5(x-3)=25
=>x-3=5
=>x=8
b: =>2x=16-10=6
=>x=3
c: =>58-3x=51
=>3x=7
=>x=7/3
d: =>4x-20=4
=>4x=24
=>x=6
e: =>2^x=4
=>2^x=2^2
=>x=2
f: =>3^x=81
=>3^x=3^4
=>x=4
g: =>4^x*4^3=4^16
=>x+3=16
=>x=13
h: =>2^x=1024/256=4=2^2
=>x=2
\(a^2=bc\Rightarrow\dfrac{a}{c}=\dfrac{b}{a}=\dfrac{a+b}{a+c}=\dfrac{a-b}{a-c}\)
a2 = b.c \(\Rightarrow\)\(\frac{a}{b}\)= \(\frac{c}{a}\)
Đặt \(\frac{a}{b}\)= \(\frac{c}{a}\) = k ( k \(\in\)Z)
\(\Rightarrow\)a = b.k
c = a.k
Ta có:
\(\frac{a+b}{a-b}\)= \(\frac{b.k+b}{b.k-b}\)= \(\frac{b.\left(k+1\right)}{b.\left(k-1\right)}\)= \(\frac{k+1}{k-1}\)(1)
\(\frac{c+a}{c-a}\)= \(\frac{a.k+a}{a.k-a}\)= \(\frac{a.\left(k+1\right)}{a.\left(k-1\right)}\)= \(\frac{k+1}{k-1}\)(2)
Từ (1) và (2) suy ra \(\frac{a+b}{a-b}\)= \(\frac{c+a}{c-a}\)
a)
\(c=\dfrac{a\cdot b\cdot c}{a\cdot b}=\dfrac{35}{-35}=-1\\ a=\dfrac{a\cdot b\cdot c}{b\cdot c}=\dfrac{35}{7}=5\\ b=\dfrac{b\cdot c}{c}=\dfrac{7}{-1}=-7\)
Vậy ...
b)
\(d=\dfrac{a\cdot b\cdot c\cdot d}{a\cdot b\cdot c}=\dfrac{120}{-30}=-4\\ c=\dfrac{a\cdot b\cdot c}{a\cdot b}=\dfrac{-30}{-6}=5\\ a=\dfrac{a\cdot b\cdot c}{b\cdot c}=\dfrac{-30}{-15}=2\\ b=\dfrac{a\cdot b}{a}=\dfrac{-6}{2}=-3\)
Vậy ...
c)
\(a+b+b+c+c+a=-1+1+6\\ 2a+2b+2c=6\\ 2\left(a+b+c\right)=6\\ a+b+c=3\\ a=\left(a+b+c\right)-\left(b+c\right)=3-1=2\\ b=\left(a+b+c\right)-\left(a+c\right)=3-6=-3\\ c=\left(a+b+c\right)-\left(a+b\right)=3-\left(-1\right)=4\)
Vậy ...
c=c a=a