Tìm x
56 - 3 (x+1) = 42
12. x - 33 = 9.27
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a,91-5(5+x)=61
=>25+5x=91-61=30
=>5x=30-25=5
=>x=1
b,\([\left(x+34\right)-50]\)x2=56
=>(x+34)-50=56:2=28
=>x+34=28+50=78
=>x=78-34=44.
c,1045-\([2015-\left(3x-24\right)]\)=5
=>2015-(3x-24)=1045-5=1040
=>3x-24=2015-1040=975
=>3x=975+24=999
=>x=999:3=333
d,\([195-\left(3x-27\right)]\)x39=4212
=>195-(3x-27)=4212:39=108
=>3x-27=195-108=87
=>3x=87+27=117
=>x=39
e,30-3(x-2)=18
=>30-3x+6=18
=>30-3x=18-6=12
=>3x=30-12=18
=>x=18:3=6
a) \(...\Rightarrow5\left(5+x\right)=91-61=30\)
\(\Rightarrow\left(5+x\right)=30:5=6\Rightarrow x=6-5=1\)
b) \(...\Rightarrow\left(x+34\right)-50=56:2=28\)
\(\Rightarrow\left(x+34\right)=28+50=78\Rightarrow x=78-34=44\)
c) \(...\Rightarrow2015-\left(3x-24\right)=1045-5=1040\)
\(\Rightarrow\left(3x-24\right)=2015-1040=975\)
\(\Rightarrow3x=975+24=999\Rightarrow x=999:3=333\)
d) \(...\Rightarrow195-\left(3x-27\right)=4212:39=108\)
\(\Rightarrow\left(3x-27\right)=195-108=87\)
\(\Rightarrow3x=87+27=114\Rightarrow x=114:3=38\)
e) \(...\Rightarrow3\left(x-2\right)=30-18=12\Rightarrow x-2=12:3=4\)
\(\Rightarrow x=4+2=6\)
Lời giải:
a.
$(\frac{-1}{3})^3.x=\frac{1}{81}=(\frac{-1}{3})^4$
$\Rightarrow x=(\frac{-1}{3})^4: (\frac{-1}{3})^3=\frac{-1}{3}$
b.
$2^2.16> 2^x> 4^2$
$\Rightarrow 2^2.2^4> 2^x> (2^2)^2$
$\Rightarrow 2^6> 2^x> 2^4$
$\Rightarrow 6> x> 4$
$\Rightarrow x=5$ (với điều kiện $x$ là số tự nhiên nhé)
c.
$9.27< 3^x< 243$
$3.3^3< 3^x< 3^5$
$\Rightarrow 3^4< 3^x< 3^5$
$\Rightarrow 4< x< 5$
Với $x$ là stn thì không có số nào thỏa mãn.
\(9.27\le\left(\frac{1}{3}\right)^x\le27.243\)
\(243\le\left(\frac{1}{3}\right)^x\le6561\)
đến đây toi tịt ==
à để xem !!! như thế này này :
\(3^5\le\left(\frac{1}{3}\right)^x\le3^8\)
Ta có \(\frac{1}{3}=0,\left(3\right)=\sqrt{3}=3\)( bt là số vô tỉ nx xem đã )
\(\Rightarrow3^5\le3^x\le3^8\)
\(\Rightarrow x=6;7\)
a) \(5^{x+3}+5^{x+1}-5^x=645\)
\(\Rightarrow5^x.5^3+5^x.5-5^x=645\)
\(\Rightarrow5^x.\left(5^3+5-1\right)=645\)
\(\Rightarrow5^x.129=645\)
\(\Rightarrow5^x=5\)
\(\Rightarrow x=1\)
Vậy \(x=1\)
b) \(9.27\ge3^x\ge243\)
\(\Rightarrow3^2.3^3\ge3^x\ge3^5\)
\(\Rightarrow3^5\ge3^x\ge3^5\)
\(\Rightarrow5\ge x\ge5\)
\(\Rightarrow x=5\)
Vậy \(x=5\)
\(9\cdot27\le\left(\dfrac{1}{3}\right)^x\le27\cdot243\)
\(\Leftrightarrow3^5\le\left(\dfrac{1}{3}\right)^x\le3^8\)
\(\Leftrightarrow\left(\dfrac{1}{3}\right)^{-5}\ge\left(\dfrac{1}{3}\right)^x\ge\left(\dfrac{1}{3}\right)^{-8}\)
=>-5>=x>=-8
hay \(x\in\left\{-5;-6;-7;-8\right\}\)
1: A=(x-1)^2>=0
Dấu = xảy ra khi x=1
5: B=-(x^2+6x+10)
=-(x^2+6x+9+1)
=-(x+3)^2-1<=-1
Dấu = xảy ra khi x=-3
2: B=x^2+4x+4-9
=(x+2)^2-9>=-9
Dấu = xảy ra khi x=-2
6: =-(x^2-5x-3)
=-(x^2-5x+25/4-37/4)
=-(x-5/2)^2+37/4<=37/4
Dấu = xảy ra khi x=5/2
3: =x^2+x+1/4-1/4
=(x+1/2)^2-1/4>=-1/4
Dấu = xảy ra khi x=-1/2
7: =4x^2+4x+1-2
=(2x+1)^2-2>=-2
Dấu = xảy ra khi x=-1/2
\(\left[195-\left(3x-27\right)\right]\cdot39=4212\\ \Rightarrow195-\left(3x-27\right)=4212:39\\ \Rightarrow195-\left(3x-27\right)=108\\ \Rightarrow3x-27=195-108\\ \Rightarrow3x-27=87\\ \Rightarrow3x=87+27\\ \Rightarrow3x=114\\ \Rightarrow x=114:3\\ \Rightarrow x=38\)
\(\left[195-\left(3x-27\right)\right]\cdot39=4212\\ \Leftrightarrow195-\left(3x-27\right)=108\\ \Leftrightarrow3x-27=87\\ \Leftrightarrow3x=114\\ \Leftrightarrow x=38\)
Vậy x = 38.
1: A=(x-1)^2>=0
Dấu = xảy ra khi x=1
5: B=-(x^2+6x+10)
=-(x^2+6x+9+1)
=-(x+3)^2-1<=-1
Dấu = xảy ra khi x=-3
2: B=x^2+4x+4-9
=(x+2)^2-9>=-9
Dấu = xảy ra khi x=-2
6: =-(x^2-5x-3)
=-(x^2-5x+25/4-37/4)
=-(x-5/2)^2+37/4<=37/4
Dấu = xảy ra khi x=5/2
3: =x^2+x+1/4-1/4
=(x+1/2)^2-1/4>=-1/4
Dấu = xảy ra khi x=-1/2
7: =4x^2+4x+1-2
=(2x+1)^2-2>=-2
Dấu = xảy ra khi x=-1/2
56 - 3 ( x + 1) = 42
3( x +1) = 56 - 42
3( x + 1) = 14
x + 1 = 14/3
x = 14/3 - 1
x = 11/3
2/ 12.x - 33 = 9.27
12.x - 33 = 243
12x = 243 + 33
12x = 276
x = 276 : 12
x = 23
56 - 3 ( x + 1) = 42
3( x +1) = 56 - 42
3( x + 1) = 14
x + 1 = 14/3
x = 14/3 - 1
x = 11/3
2/ 12.x - 33 = 9.27
12.x - 33 = 243
12x = 243 + 33
12x = 276
x = 276 : 12
x = 23
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