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YN
5 tháng 10 2021
a) \(\left(3x-5\right)\left(5-3x\right)+9\left(x+1\right)^2=30\)
\(\Rightarrow15x-9x^2-25+15x+9\left(x^2+2x+1\right)-30=0\)
\(\Rightarrow30x-9x^2-25+9x^2+18x+9-30=0\)
\(\Rightarrow48x-46=0\)
\(\Rightarrow x=\frac{23}{24}\)
b) \(\left(x+4\right)^2-\left(x+1\right)\left(x-1\right)=16\)
\(\Rightarrow\left(x^2+8x+16\right)-\left(x^2-1\right)=16\)
\(\Rightarrow x^2+8x+16-x^2+1=16\)
\(\Rightarrow8x+17=16\)
\(\Rightarrow8x=-1\)
\(\Rightarrow x=\frac{-1}{8}\)
YN
5 tháng 10 2021
c) \(\left(y-2\right)^3-\left(y-3\right)\left(y^2+3y+9\right)+6\left(y+1\right)^2=49\)
\(\Rightarrow\left(y-2\right)^3-\left(y^3-3^3\right)+6\left(y^2+2y+1\right)=49\)
\(\Rightarrow y^3-6y^2+12y-8-y^3+27+6y^2+12y+6=49\)
\(\Rightarrow\left(y^3-y^3\right)+\left(-6y^2+6y^2\right)+\left(12y+12y\right)+\left(-8+27+6\right)=49\)
\(\Rightarrow24y+25=49\)
\(\Rightarrow24y=24\)
\(\Rightarrow y=1\)
d) \(\left(y+3\right)^3-\left(y+1\right)^3=56\)
\(\Rightarrow\left(y+3-y-1\right)[\left(y+3\right)^2+\left(y+3\right)\left(y+1\right)+\left(y+1\right)^2]=56\)
\(\Rightarrow2\left(y^2+6y+9+y^2+4y+3+y^2+2y+1\right)=56\)
\(\Rightarrow3y^2+12y+13=28\)
\(\Rightarrow\left(3y^2+15y\right)-\left(3y+15\right)=0\)
\(\Rightarrow3y\left(y+5\right)-3\left(y+5\right)=0\)
\(\Rightarrow3\left(y-1\right)\left(y+5\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-1=0\\x+5=0\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=-5\end{cases}}\)
31 tháng 10 2021
\(a,\Rightarrow4x^2-20x-4x^2+3x+4x-3=5\\ \Rightarrow-13x=8\Rightarrow x=-\dfrac{8}{13}\\ b,\Rightarrow3x^2-10x+8-3x^2+27x=-3\\ \Rightarrow17x=-11\Rightarrow x=-\dfrac{11}{17}\\ c,\Rightarrow\left(x+3\right)\left(2-x\right)=0\Rightarrow\left[{}\begin{matrix}x=-3\\x=2\end{matrix}\right.\\ d,\Rightarrow2x\left(4x^2-25\right)=0\\ \Rightarrow2x\left(2x-5\right)\left(2x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{2}{5}\\x=-\dfrac{2}{5}\end{matrix}\right.\\ e,Sửa:\left(4x-3\right)^2-3x\left(3-4x\right)=0\\ \Rightarrow\left(4x-3\right)^2+3x\left(4x-3\right)=0\\ \Rightarrow\left(4x-3\right)\left(7x-3\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=\dfrac{3}{7}\end{matrix}\right.\)
31 tháng 10 2021
a.
4x(x-5) - (x-1)(4x-3)-5=0
4x^2-20x-4x^2+3x+4x+3=0
(4x^2-4x^2)+(-20x+3x+4x)+3=0
13x+3 = 0
13x=-3
x=-3/13
b,
(3x-4)(x-2)-3x(x-9)+3=0
3x^2-6x-4x+8 - 3x^2+27x+3=0
(3x^2-3x^2)+(-6x-4x+27x)+(8+3)=0
17x+11=0
17x=-11
x=-11/17
c, 2(x+3)-x^2-3x=0
2(x+3) - x(x+3)=0
(x+3)(2-x)=0
TH1: x+3 = 0; x=-3
TH2: 2-x=0;x=2
ML
12 tháng 8 2015
2)a)3x(x-5)-(x-1)(2+3x)=30
<=>3x2-15x-3x2+x+2=30
<=>-14x+2=30
<=>-14x=30-2
<=>-14x=28
<=>x=-2
b)(x+2)(x+3)-(x-2)(x+5)=0
<=>x2+5x+6-x2-3x+10=0
<=>2x+16=0
<=>2x=-16
<=>x=-8
c)(3x+2)(2x+9)-(x+2)(6x+1)=9
<=>6x2+31x+18-6x2-13x-2=9
<=>18x+16=9
<=>18x=9-16
<=>18x=-7
<=>x=-7/18
HT
2
25 tháng 5 2015
a/3x(12x - 4 ) -9x (4x -3 ) = 30
<=> 36x^2 - 12x - 36x²+27x = 30
<=> 15x = 30
<=> x=2
b/ => 5x -2. x^2 + 2.x^2 -2x = 15
=> 5x -2x = 15
=> 3x = 15 => x= 5
25 tháng 5 2015
a/3x(12x - 4 ) -9x (4x -3 ) = 30
36x^2 - 12x - 36x²+27x = 30
15x = 30
x=2
b/ 5x -2. x^2 + 2.x^2 -2x = 15
5x -2x = 15
3x = 15 => x= 5
MD
1
DT
14 tháng 7 2018
Ta có:
\(\left(3x-5\right)\left(5-3x\right)+9\left(x+1\right)^2=30\)
\(\Leftrightarrow9\left(x^2+2x+1\right)-\left(3x-5\right)\left(3x-5\right)=30\)
\(\Leftrightarrow9x^2+18x+9-\left(9x^2-30x+25\right)=30\)
\(\Leftrightarrow48x-16=30\)
\(\Leftrightarrow48x=46\Leftrightarrow x=\dfrac{23}{24}\)
VG
2
18 tháng 9 2019
(3x - 5)(5 - 3x) + 9(x + 1)^2 = 30
=> 15x - 9x^2 - 25 + 15x + 9(x^2 + 2x + 1) = 30
=> 30x - 9x^2 - 25 + 9x^2 + 18x + 9 = 30
=> 38x - 16 = 30
=> 38x = 46
=> x = 23/19
A
18 tháng 9 2019
\(\left(3x-5\right)\left(5-3x\right)+9\left(x+1\right)^2=30.\)
\(15x-9x^2-25+15x+9\left(x^2+2x+1\right)=30\)
\(15x-9x^2-25+15x+9x^2+18x+9=30\)
\(48x-16=30\)
\(48x=30+16=46\)
\(x=\frac{46}{48}=\frac{23}{24}\)
\(\left(x+4\right)^2-\left(x+1\right)\left(x-1\right)=16\)
\(x^2+8x+16-\left(x^2-1\right)=16\)
\(x^2+8x+16-x^2+1=16\)
\(8x+17=16\)
\(8x=16-17=-1\)
\(x=-\frac{1}{8}\)
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