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a) \(\left(x-1\right)^3=8=2^3\)
\(x-1=2\)
\(x=2+1=3\)
b) \(7^{2x-6}=49=7^2\)
\(2x-6=2\)
\(2x=6+2=8\)
\(x=8:2=4\)
c) \(\left(2x-14\right)^7=128=2^7\)
\(2x-14=2\)
\(2x=14+2=16\)
\(x=16:2=8\)
d) \(x^4\cdot x^5=5^3\cdot5^6=5^4\cdot5^5\)
\(x=5\)
e) \(3\cdot\left(x+2\right):7\cdot4=120\)
\(x+2=120:3\cdot7:4\)
\(x+2=70\)
\(x=70-2=68\)
Lời giải:
a. $(x-1)^3=8=2^3$
$\Rightarrow x-1=2$
$\Rightarrow x=3$
b. $7^{2x-6}=49=7^2$
$\Rightarrow 2x-6=2$
$\Rightarrow 2x=8$
$\Rightarrow x=4$
c. $(2x-14)^7=128=2^7$
$\Rightarrow 2x-14=2$
$\Rightarrow 2x=16$
$\Rightarrow x=18$
d.
$x^4.x^5=5^3.5^6$
$x^9=5^9$
$\Rightarrow x=5$
e.
$3(x+2):7=120:4=30$
$3(x+2)=30.7=210$
$x+2=210:3=70$
$x=70-2=68$
a: =>11(x-3)=6(x-5)
=>11x-33=6x-30
=>5x=3
=>x=3/5
b: =>(4/3-1/4x-5/12)-2x=8/5*5/3=8/3
=>-9/4x+11/12=8/3
=>-9/4x=32/12-11/12=21/12=7/4
=>x=-7/9
c: =>1/2x-1/3-2/3x-1=x
=>-1/6x-4/3=x
=>-7/6x=4/3
=>x=-4/3:7/6=-4/3*6/7=-24/21=-8/7
d: =>1-2x-3x+1=7/2
=>-5x=3/2
=>x=-3/10
a) \(-2\left(x+6\right)=8-6\left(x-10\right)\)
\(\Leftrightarrow-2x-12=8-6x+60\)
\(\Leftrightarrow-2x-12=-6x+68\)
\(\Leftrightarrow-2x=-6x+68+12\)
\(\Leftrightarrow-2x=-6x+80\)
\(\Leftrightarrow-2x+6x=80\)
\(\Leftrightarrow4x=80\)
\(\Leftrightarrow x=20\)
Vậy \(x=20\)
b) \(-4\left(2x+9\right)=\left(x+13\right)+\left(-8x+3\right)\)
\(\Leftrightarrow-4\left(2x+9\right)=x+13+-8x+3\)
\(\Leftrightarrow-4\left(2x+9\right)=x+13-8x+3\)
\(\Leftrightarrow-4\left(2x+9\right)=-7x+16\)
\(\Leftrightarrow-8x-36=-7x+16\)
\(\Leftrightarrow-36=-7x+16+8x\)
\(\Leftrightarrow x+16=-36\)
\(\Leftrightarrow x=-52\)
Vậy \(x=-52\)
a) -2(x+6)=8-6(x-10)
<=> -2x-12=8-6x+60
<=> -2x-12-68+6x=0
<=> 4x-80=0
<=> 4x=80
<=> x=20
b) -4(2x+9)=(x+13)+(-8x+3)
<=> -8x-36=x+13-8x+3
<=> -8x-36=-7x+16
<=> -8x-36+7x-16=0
<=> -x-52=0
<=> -x=52
<=> x=-52
Lời giải:
a)
$1+3+5+...+(2x-1)=750$
$\frac{(2x-1+1)x}{2}=750$
$x^2=750$
$x=\sqrt{750}$ (vô lý?!!)
b)
$1+5+9+13+...+x=501501$
$\frac{1}{2}(\frac{x-1}{4}+1)(x+1)=501501$
$(x+1)(x+3)=4012008$$x(x+4)=4012005=2001.2005$
$\Rightarrow x=2001$
a: =>x-3/4=1/6-1/2=1/6-3/6=-2/6=-1/3
=>x=-1/3+3/4=-4/12+9/12=5/12
b: =>x(1/2-5/6)=7/2
=>-1/3x=7/2
hay x=-21/2
c: (4-x)(3x+5)=0
=>4-x=0 hoặc 3x+5=0
=>x=4 hoặc x=-5/3
d: x/16=50/32
=>x/16=25/16
hay x=25
e: =>2x-3=-1/4-3/2=-1/4-6/4=-7/4
=>2x=-7/4+3=5/4
hay x=5/8
\(3\left(2x-6\right)-4\left(1+2x\right)-2\left(x-4\right)=4-3\left(1+2x\right)-5\left(1-2x\right).\)
\(\Leftrightarrow6x-18-4-8x-2x+8=4-3-6x-5+10x\)
\(\Leftrightarrow-4x-14=4x-4\)
\(\Leftrightarrow-4x-4x=-4+14\)
\(\Leftrightarrow-8x=10\)
\(\Leftrightarrow x=-\frac{5}{4}\)
3.2x - 3.6 - 4+4.2x - 2x-2.(-4) = 4 - 3+3.2x - 5-5.(-2x)
6x -18 -4 +8x -2x +8 = 4 -3 +6x -5 +10x
6x +8x -2x -18-4+8 = 4-3-5+6x+10x
12x-22 = -4+16x
12x-16x = -4+22
-4x = 18
x = 18: (-4)
x = -4,5
Mình không chắc là đúng đâu đấy, tại giải vội quá, nếu sai thì ming bạn thông cảm ^.^
=>-13-5+x-6+2x=3
=>-24+3x=3
=>3x=3-(-24)
=>3x=27
=>x=27/3=9
=>-13-5+x-6+2x=3
=>-24+3x=3
=>3x=3-(-24)
=>3x=27
=>27:3=9