3^5x-2=27^6
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a) \(\left(3x-1\right)^4=\frac{1}{16}\)
\(\Rightarrow\orbr{\begin{cases}3x-1=\frac{1}{2}\\3x-1=-\frac{1}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}3x=\frac{1}{2}+1=\frac{3}{2}\\3x=-\frac{1}{2}+1=\frac{1}{2}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{1}{6}\end{cases}}\)
b) \(\left(5x-2\right)^2=\frac{25}{121}\)
\(\Rightarrow\orbr{\begin{cases}5x-2=\frac{5}{11}\\5x-2=-\frac{5}{11}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}5x=\frac{5}{11}+2=\frac{27}{11}\\5x=-\frac{5}{11}+2=\frac{17}{11}\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{27}{55}\\x=\frac{17}{55}\end{cases}}\)
c) \(\left(5x+6\right)^3=\frac{-8}{27}=\left(\frac{-2}{3}\right)^3\)
\(\Rightarrow5x+6=-\frac{2}{3}\)
\(\Rightarrow5x=-\frac{2}{3}-6=-\frac{20}{3}\)
\(\Rightarrow x=-\frac{20}{3}:5=-\frac{4}{3}\)
a) (3x — 1) ^4 = 1/16
=>3x-1=-1/2 hoặc 1/2
=>3x=1/2
=>x=1/6
=>3x=3/2
=>x=1/2
b)(5x — 2 )^2 = 25/121
=>5x-2=-5/11 hoặc 5/11
=>5x=17/11
=>x=17/55
=>5x=27/11
=>x=27/55
c)(5x + 6)^3= -8/27
=>5x+6=-2/3
=>5x=-20/3
=>x=-4/3
1: Ta có: 7x+6(3-x)=27-20+73
\(\Leftrightarrow7x+18-6x=80\)
\(\Leftrightarrow x=80-18=62\)
Vậy: x=62
2: Ta có: \(6x-5\left(x-7\right)=\left(27-514\right)-486-73\)
\(\Leftrightarrow6x-5x+35=27-514-486-73\)
\(\Leftrightarrow x+35=-1046\)
\(\Leftrightarrow x=-1081\)
Vậy: x=-1081
a). 2(x-3)-5x=6
2x-6-5x=6
-3x-6=6
-3x=12
x=-4
b). (x-2)^3=27^2
(x-2)^3=9^3
x-2=9
x=11
\(5x\left(6-x\right)+\left(5x-3\right)x=27\)
\(30x-5x^2+5x^2-3x=27\)
\(27x=27\)
\(x=1\)
Vậy \(x=1\)
\(3\left(2x-1\right)-5\left(x-3\right)+6.\left(3x-4\right)=83\)
\(6x-3-5x+15+18x-24=83\)
\(19x-12=83\)
\(19x=95\)
\(x=\frac{95}{19}\)
\(x=5\)
Vậy \(x=5\)
\(5x.\left(6-x\right)+\left(5x-3\right)x=27\)
\(\Rightarrow30x-5x^2+5x^2-3x=27\)
\(\Rightarrow\left(30x-3x\right)-\left(5x^2-5x^2\right)=27\)
\(\Rightarrow27x=27\)
\(\Rightarrow x=\)................................................(XIn lỗi em không biết chia :D)
Mấy bài thực hiện phép tính bn tự làm nha
3.|x+4|-2.(x-1)=7-2x
3.|x-4|-2x-2=7-2x
=>2.|x-4| =7-2x+2x+2
=>2.|x-4| =9-4x
=>|x-4| =4,5-2x
=>x-4=4,5-2x hoặc x-4=-4,5+2x
2+2x=4,5+4 4,5-4=2x-2
3x =8,5 0,5 =x
x =8,5:3
x =2,833
Vậy x\(\in\){2,833;0,5}
Phần còn lại bn làm tương tự nha
Chúc bn học tốt
\(x^2-5x+6\)
\(=x^2-2x-3x+6\)
\(=x\left(x-2\right)-3\left(x-2\right)\)
\(=\left(x-3\right)\left(x-2\right)\)
\(27x^3-\frac{1}{27}\)
\(=\left(3x\right)^3-\left(\frac{1}{3}\right)^3\)
\(=\left(3x-\frac{1}{3}\right)\left(9x^2+x+\frac{1}{9}\right)\)
a) 4x(3x-7)-6(2x2-5x+1)=12
=>4x.3x-4x.7-6.2x2-6.(-5x)-6.1=12
=>12x2-28x-12x2+30x-6=12
=>2x-6 =12
=>2x =12+6
=>2x =18
=>x =18:2
=>x =6
b)(5x+3)(4x-1)+(10x-7)(-2x+3)=27
=>5x.4x-5x.1+3.4x+3.(-1)+10x.(-2x)+10x.3-7.-(2x)-7.3=27
=>20x2-5x+12x-3-20x2+30x+14x-21=27
=>39x-36 =27
=>39x =27+36
=>39x =63
=>x =63:39
=>x =21/13
c) (8x-5)(3x+2)-(12x+7)(2x-1)=17
=>8x.3x+8x.2-5.3x-5.2-12x.2x-12x.(-1)+7.2x+7.(-1)=17
=>24x2+16x-15x-10-24x2+12x+14x-7=17
=>27x-17 =17
=>27x =17+17
=>27x =34
=>x =34:27
=>x =34/27
d) (5x+9)(6x-1)-(2x-3)(15x+1)=-190
=>30x2-5x+63x-9 - 30x2-2x-45x-3=-190
=>11x-12 =-190
=>11x =-190+12
=>11x =-178
=>x = -178:11
=>x =-178/11
\(1,=-\left(y^2+12y+36\right)=-y^2-12y-36\)
\(2,=-\left(16-8y+y^2\right)=-16+8y-y^2\)
\(3,=-\left(\dfrac{4}{9}+\dfrac{4}{3}x+x^2\right)=-\dfrac{4}{9}-\dfrac{4}{3}x-x^2\)
\(4,=-\left(x^2-3x+\dfrac{9}{4}\right)=-x^2+3x-\dfrac{9}{4}\)
\(5,-\left(2+3y\right)^2=-\left(4+12y+9y^2\right)=-4-12y-9y^2\)
.... mấy ý còn lại bn tự lm nhé, tương tự thhooi
1) \(-\left(y+6\right)^2=-y^2-12y-36\)
2) \(-\left(4-y\right)^2=-y^2+8y-16\)
3) \(-\left(x+\dfrac{2}{3}\right)^2=-x^2-\dfrac{4}{3}x-\dfrac{4}{9}\)
4) \(-\left(x-\dfrac{3}{2}\right)^2=-x^2+3x-\dfrac{9}{4}\)
5) \(-\left(3y+2\right)^2=-9y^2-12y-4\)
6) \(-\left(2y-3\right)^2=-4y^2+12y-9\)
7) \(-\left(5x+2y\right)^2=-25x^2-20xy-4y^2\)
8) \(-\left(2x-\dfrac{3}{2}\right)^2=-4x^2+6x-\dfrac{9}{4}\)