2x+6=5x-3
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21 tháng 3 2023
a)\(\left(5x+2\right)\left(2x-6\right)=0\\ \left\{{}\begin{matrix}5x+2=0\Leftrightarrow5x=-2\Leftrightarrow x=\dfrac{-2}{5}\\2x-6=0\Leftrightarrow2x=6\Leftrightarrow x=\dfrac{6}{2}=3\end{matrix}\right.\)
b)\(\dfrac{5x}{2x+2}+1=\dfrac{8}{x+1}\\ \Leftrightarrow\dfrac{5x}{2\left(x+1\right)}+1=\dfrac{8}{x+1}\\ \Leftrightarrow\dfrac{5x+2\left(x+1\right)}{2\left(x+1\right)}=\dfrac{2\cdot8}{2\left(x+1\right)}\\ \Leftrightarrow5x+2\left(x+1\right)=16\\ \Leftrightarrow5x+2x+2=16\\ \Leftrightarrow5x+2x=16-2\\ \Leftrightarrow7x=14\\ \Leftrightarrow x=\dfrac{14}{7}=2\)
21 tháng 3 2023
a, <=>5x+2=0<=>x=-2/5
<=>2x-6=0<=>x=6/2=3
mik có tí việc ko lm hết cho bn đc xl
24 tháng 12 2023
a: \(\left(x-3\right)\left(2x^2-3x+4\right)\)
\(=2x^3-3x^2+4x-6x^2+9x-12\)
\(=2x^3-9x^2+13x-12\)
b: \(\left(4x^2y-5xy^2+6xy\right):2xy\)
\(=\dfrac{4x^2y-5xy^2+6xy}{2xy}\)
\(=\dfrac{2xy\cdot2x-2xy\cdot2,5y+2xy\cdot3}{2xy}\)
\(=2x-2,5y+3\)
c: \(\dfrac{x}{2x+4}-\dfrac{2}{x^3+2x}\)
\(=\dfrac{x\left(x^3+2x\right)-2\left(2x+4\right)}{x\left(x^2+2\right)\cdot2\cdot\left(x+2\right)}\)
\(=\dfrac{x^4+2x^2-4x-8}{2x\left(x^2+2\right)\left(x+2\right)}\)
PN
17 tháng 8 2020
a, \(12-2\left(1-x\right)^2=\left(3x-2\right)\left(2x-3\right)\)
\(< =>12-2\left(1-2x+x^2\right)=6x^2-9x-4x+6\)
\(< =>12-2+4x-2x^2=6x^2-13x+6\)
\(< =>10+4x-2x^2-6x^2+13x-6=0\)
\(< =>-8x^2+17x+4=0< =>\orbr{\begin{cases}x=\frac{17-\sqrt{417}}{16}\\x=\frac{17+\sqrt{417}}{16}\end{cases}}\)
b, \(10x+3-5x=4x+12< =>5x+3-4x-12=0\)
\(< =>x-9=0< =>x=9\)
c, \(11x+42-2x=100-9x-22< =>9x+42-100+9x+22=0\)
\(< =>18x+64-100=0< =>18x-36=0< =>x=\frac{36}{18}=2\)
d, \(2x-\left(3-5x\right)=4\left(x+3\right)< =>2x-3+5x=4x+12\)
\(< =>7x-3-4x-12=0< =>3x-15=0< =>x=\frac{15}{3}=5\)
e, \(2\left(x-3\right)+5x\left(x-1\right)=5x^2< =>2x-6+5x^2-5=5x^2\)
\(< =>2x-11+5x^2-5x^2=0< =>2x-11=0< =>x=\frac{11}{2}\)
f, \(-6\left(1,5-2x\right)=3\left(-15+2x\right)< =>-6\left(\frac{3}{2}-2x\right)=3\left(2x-15\right)\)
\(< =>-9+12x-6x+45=0< =>6x+36=0< =>x=-6\)
g, \(14x-\left(2x+7\right)=3x+12x-13< =>14x-2x-7=15x-13\)
\(< =>12x-7-15x+13=0< =>-3x+6=0< =>x=-2\)
h, \(\left(x-4\right)\left(x+4\right)-2\left(3x-2\right)=\left(x-4\right)^2\)
\(< =>x^2-16-6x+4=x^2-8x+16\)
\(< =>x^2-6x-12-x^2+8x-16=0\)
\(< =>2x-28=0< =>x=\frac{28}{2}=14\)
q, \(4\left(x-2\right)-\left(x-3\right)\left(2x-5\right)=?\)thiếu đề
13 tháng 6 2023
a: \(=\dfrac{2\left(x+2\right)\left(x-1\right)}{x+2}=2x-2\)
b: \(=\dfrac{2x^3+x^2-6x^2-3x+2x+1}{2x+1}=x^2-3x+1\)
c: \(=\dfrac{x^3+2x^2-2x^2-4x+2x+4}{x+2}=x^2-2x+2\)
d: \(=\dfrac{x^2\left(x-3\right)}{x-3}=x^2\)
6 tháng 11 2021
a: \(=25x^4-10x^3+5x^2\)
c: \(=2x^3-3x-5x^3-x^2+x^2=-3x^3-3x\)
5 tháng 7 2023
\(\left(\dfrac{1}{3}+\dfrac{1}{6}\right)\cdot2^{x+4}-2^x=2^{13}-2^{10}\)
\(\Rightarrow\dfrac{1}{2}\cdot2^{x+4}-2^x=2^{13}-2^{10}\)
\(\Rightarrow2^{x+3}-2^x=2^{13}-2^{10}\)
\(\Rightarrow x+3=13;x+0=10\)
\(\Rightarrow x=10\)
5 tháng 7 2023
(\(\dfrac{1}{3}\) +\(\dfrac{1}{6}\) ) . 2x+4 - 2x = 213 - 210
(\(\dfrac{2}{6}\) + \(\dfrac{1}{6}\)) . \(2^{x+4}\) - \(2^x\) = 8192 - 1024
\(\dfrac{3}{6}\) . 2x . \(2^4\) -\(2^x\) = 7168
8 . 2x - 2x . 1 = 7168
2x . ( 8 - 1 ) = 7168
2x . 7 = 7168
2x = 7168 : 7
2x = 1024
2x = \(2^{10}\)
⇒ x = 10
2x+6=5x-3
=>-3x=-9
=>x=3
vậy x=3