Tìm x
a/ 6x - 35 + 5x - 21 = 17x - 20
b/ 5x + 35 - 4x - 27 = 14x + 34
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a) 6x - 35 + 5x - 21 = (6x + 5x) - (35 + 21) = 11x - 56 = 17x - 20 => 11x = 17x - 20 + 56 = 17x + 36
=> 36 = 11x - 17x = -6x => x = 36 : (-6) = -6
b) 5x + 35 - 4x - 27 = (5x - 4x) + (35 - 27) = x + 8 = 14x + 34 => x = 14x + 34 - 8 = 14x + 26
=> 26 = x - 14x = -13x => x = 26 : (-13) = -2
a: \(=\dfrac{6x^2+9x+8x+12}{2x+3}=\dfrac{3x\left(2x+3\right)+4\left(2x+3\right)}{2x+3}\)
=3x+4
b: \(=\dfrac{5x^2-2x+15x-6}{5x-2}\)
\(=\dfrac{x\left(5x-2\right)+3\left(5x-2\right)}{5x-2}=x+3\)
c: \(=\dfrac{-8x^2+20x+2x-5-10}{2x-5}=-4x+1+\dfrac{-10}{2x-5}\)
d: \(=\dfrac{14x^2-35x+2x-5}{2x-5}=\dfrac{7x\left(2x-5\right)+\left(2x-5\right)}{2x-5}\)
=7x+1
e: \(=\dfrac{2x^3+x^2+6x^2+3x+12x+6}{2x+1}\)
\(=\dfrac{x^2\left(2x+1\right)+3x\left(2x+1\right)+6\left(2x+1\right)}{2x+1}=x^2+3x+6\)
f: \(=\dfrac{x^3-2x^2+6x^2-12x+x-2}{x-2}=x^2+6x+1\)
g: \(=\dfrac{12x^3+6x^2-4x^2-2x+6x+3}{2x+1}=6x^2-2x+3\)
\(1,\\ a,=-35x^5y^4z\\ b,=6x^2-30x-6x^2-3x=-33x\\ c,=x^3-9x^2-2x^2+18x-x+9=x^3-11x^2+17x+9\\ 2,\\ A\left(x\right)+B\left(x\right)=10-2x+4x^3-5x^2-10x^3-5x+6x^2-20\\ =-6x^3+x^2-7x-10\\ A\left(x\right)-B\left(x\right)=10-2x+4x^3-5x^2+10x^3+5x-6x^2+20\\ =14x^3-11x^2+3x+30\\ 3,\\ a,M\left(x\right)=5x+20=0\\ \Leftrightarrow x=-4\\ b,N\left(x\right)=100x^2-49=0\\ \Leftrightarrow\left(10x-7\right)\left(10x+7\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=\dfrac{7}{10}\\x=-\dfrac{7}{10}\end{matrix}\right.\\ c,P\left(x\right)=3x-15=0\\ \Leftrightarrow x=5\)
Bài 1;
a)\(5x^3yz.\left(-7x^2y^3\right)=-35.x^5y^4z\)
b)\(6x\left(x-5\right)-x\left(6x+3\right)=6x^2-30x-6x^2-3x=-33x\)
c) \(\left(x-9\right)\left(x^2-2x-1\right)=x^3-2x^2-x-9x^2+18x+9=x^3-11x^2+17x+9\)
a,A=3x^2y^4+5x^3+xy-3x^2y^4
A=5x3 +xy
=> bậc của A là 3
b,B=7x^3y.(-4x^2y^2)+17x^2y^3-4x^2y+28x^2y^4
=> bậc của B là 8
c,C=5x^4y^2-7x^3y^2.(-2xy^2)-5x^4y^2+x^3-14x^4y^4
C = 5x4y2 -7x3y2 (-2xy2) - 5x4y2 +x3 -14x4y4
C = 5x4y2 + 14x4y4 -5x4y2 +x3 -14x4y4
C = x3
=> Bậc của C là 3
a) \(6x-35+5x-21=17x-20\)
\(\Rightarrow6x-25+5x-21+20=17x\)
\(\left(6x+5x\right)+\left(20-25-21\right)=17x\)
\(11x+\left(-36\right)=17x\)
\(17x-11x=-36\)
\(6x=-36\)
\(x=\frac{-36}{6}=-6\)
Vậy \(x=-6\)
b) \(5x+35-4x-27=14x+34\)
\(\Rightarrow5x+35-4x-27-34=14x\)
\(\left(5x-4x\right)+\left(35-27-34\right)=14x\)
\(x+\left(-26\right)=14x\)
\(14x-x=-26\)
\(13x=-26\)
\(x=-\frac{26}{13}=-2\)
Vậy \(x=-2\)