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Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
|9-7x|=5x-3
=> 9-7x=5x-3 hoặc 9-7x=-(5x-3)
=> -7x-5x=-3-9 hoặc 9-7x=-5x+3
=> -12x = -12 hoặc -7x+5x=3-9
=> x=1 hoặc -2x=-6
hoặc x=3
8x-|4x+1|=x+2
=> |4x+1|=8x-(x+2)
=> |4x+1|=8x-x-2
=> |4x+1|=7x-2
=> 4x+1=7x-2 hoặc 4x+1=-(7x-2)
=> 4x-7x=-2-1 hoặc 4x+1=-7x+2
=> -3x=-3 hoặc 4x+7x=2-1
=> x=1 hoặc 11x=1
hoặc x=1/11
TÌM X BIẾT
A) (2X+1)^5= (2X+1)
=> (2X+1)^5 =0=1
TH1
(2X+1)^5=0
2X+1=0
2X=-1
X=-1/2
TH2
(2X+1)^5=1
2X+1=1
2X=0
X=0 VẬY X=-1/2 HOẶC X=0
B) \2-5X\=\X+1\
TH1
2-5X=X+1
2-1=X+5X
1=6X
X=1/6
TH2
2-5X=-X-1
=> 2+1=-X+5X
3=4X
X=3/4
VẬY X=1/6 HOẶC X=3/4
C) \X-3\+(X^2-9)^2=0
=>\X-3\= (X^2-9)^2=0
=> \X-3\=0
X-3=0
X=3
=>(X^2-9)^2=0
X^2-9=0
X^2=9
=>X=3 (TM)
X=-3 (LOẠI)
VẬY X CỦA 2 BIỂU THỨC GIỐNG NHAU NÊN X=3
D) \4X+1\-2X+3=5
\4X+1\=8+2X
TH1
4X+1=8+2X
4X-2X=8-1
2X=7
X=7/2
TH2
4X+1=-8-2X
4X+2X=-8-1
6X=-9
X=-9:6
X=-3/2
VẬY X=7/2 HOẶC X=-3/2
Hằng đẳng thức đó bn:
\(\left(a+b\right)\left(a^2-ab+b^2\right)\)
Thay vào thì: \(-\left(x-3\right)\left(x^2-3x+9\right)=-\left[\left(x-3\right)\left(x^2-3x+3^2\right)\right]\)
\(=-\left(x^3-27\right)=-x^3+27\)
Bài làm:
Ta có: \(\left(x-1\right)^3-\left(x+3\right)\left(x^2-3x+9\right)=\left(x-3\right)^3+3\left(2x+1\right)^2-\left(x^3-5x+1\right)\)
\(\Leftrightarrow x^3-3x^2+3x-1-x^3+27=x^3-9x^2+27x-27+12x^2+12x+3-x^3+5x-1\)
\(\Leftrightarrow6x^2+41x-51=0\)
\(\Leftrightarrow6\left(x^2+\frac{41}{6}x+\frac{1681}{144}\right)-\frac{2905}{24}=0\)
\(\Leftrightarrow\left(x+\frac{41}{12}\right)^2-\frac{\left(\sqrt{2905}\right)^2}{12^2}=0\)
\(\Leftrightarrow\left(x+\frac{41}{12}-\frac{\sqrt{2905}}{12}\right)\left(x+\frac{41}{12}+\frac{\sqrt{2905}}{12}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{\sqrt{2905}-41}{12}\\x=\frac{-\sqrt{2905}-41}{12}\end{cases}}\)
\(\frac{1}{2}\left(\frac{4}{9}-x\right)-\frac{3}{2}\left(16-x\right)+\frac{1}{2}\left(5x+10\right)=0\)
\(\Leftrightarrow\frac{2}{9}-\frac{1}{2}x-24+\frac{3}{2}x+\frac{5}{2}x+5=0\)
\(\Leftrightarrow-\frac{169}{9}=\frac{7}{2}x\Leftrightarrow x=-\frac{338}{63}\)
Sai thì thông cảm cho mk nha
a.
\(\left(3x-1\right)\left(2x+7\right)-\left(x+1\right)\left(6x-5\right)=16\)
\(6x^2+21x-2x-7-6x^2+5x-6x+5=16\)
\(\left(6x^2-6x^2\right)+\left(21x-2x+5x-6x\right)-\left(7-5\right)=16\)
\(18x-2=16\)
\(18x=16+2\)
\(18x=18\)
\(x=\frac{18}{18}\)
\(x=1\)
b.
\(\left(10x+9\right)x-\left(5x-1\right)\left(2x+3\right)=8\)
\(10x^2+9x-10x^2-15x+2x+3=8\)
\(\left(10x^2-10x^2\right)-\left(15x-9x-2x\right)+3=8\)
\(-4x=8-3\)
\(-4x=5\)
\(x=-\frac{5}{4}\)
c.
\(\left(3x-5\right)\left(7-5x\right)+\left(5x+2\right)\left(3x-2\right)-2=0\)
\(21x-15x^2-35+25x+15x^2-10x+6x-4-2=0\)
\(\left(15x^2-15x^2\right)+\left(25x+21x-10x+6x\right)-\left(35+4+2\right)=0\)
\(42x=41\)
\(x=\frac{41}{42}\)
a) \(\text{}/3x-5/-\frac{1}{7}=\frac{1}{3}\) b)\(\left(\frac{3}{5}x-\frac{2}{3}x-x\right).\frac{1}{7}=\frac{-5}{21}\)
\(/3x-5/=\frac{10}{21}\) \([x.\left(\frac{3}{5}-\frac{2}{3}-1\right)]=\frac{-5}{21}.7\)
\(\Rightarrow3x-5=\frac{10}{21}hay3x-5=\frac{-10}{21}\) \(\left[x.\frac{-16}{15}\right]=\frac{-5}{3}\)
\(3x=\frac{115}{21}\) \(3x=\frac{95}{21}\) \(x=\frac{25}{16}\)
\(x=\frac{115}{63}\) \(x=\frac{95}{63}\) Vậy x = \(\frac{25}{16}\)
Vậy x \(\in\left\{\frac{115}{63};\frac{95}{63}\right\}\)
Mình sửa bài nhé.
\(2.\left(x-1\right)-3.\left(x-2\right)=5x-9\)
\(\Rightarrow2x-2-3x+6-5x=-9\)
\(\Rightarrow\left(2x-3x-5x\right)+\left(-2+6\right)=-9\)
\(\Rightarrow-6x+4=-9\)
\(\Rightarrow-6x=-13\)
\(\Rightarrow x=\frac{13}{6}\)
\(2.\left(x-1\right)-3.\left(x-2\right)=5x-9\)
\(\Rightarrow2x-2-3x-2=5x-9\)
\(\Rightarrow2x-2-3x-2-5x+9=0\)
\(\Rightarrow-6x+5=0\)
\(\Rightarrow-6x=-5\)
\(\Rightarrow x=\frac{5}{6}\)