\(\dfrac{x}{2}\)=\(\dfrac{18}{x}\)
A.x=− 6
B. x= 6
C. x∈ {6; − 6}
D. đáp án khác
K
Khách
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25 tháng 11 2022
a: \(=\dfrac{a}{9\left(a-2\right)}-\dfrac{b-1}{6b}-\dfrac{ab-3a+6}{9b\left(a-2\right)}\)
\(=\dfrac{2ab}{18b\left(a-2\right)}-\dfrac{3\left(b-1\right)\left(a-2\right)}{18b\left(a-2\right)}-\dfrac{2ab-6a+12}{18b\left(a-2\right)}\)
\(=\dfrac{2ab-3\left(ba-2b-a+2\right)-2ab+6a-12}{18b\left(a-2\right)}\)
\(=\dfrac{6a-12-3ab+6b+3a-6}{18b\left(a-2\right)}\)
\(=\dfrac{3a+12b-3ab-18}{18b\left(a-2\right)}\)
\(=\dfrac{a+4b-ab-6}{6b\left(a-2\right)}\)
b: \(=\dfrac{xa-2x+ax+a-x\left(a-2\right)}{a\left(a-2\right)}\)
\(=\dfrac{2ax-2x+a-xa+2x}{a\left(a-2\right)}=\dfrac{xa+a}{a\left(a-2\right)}=\dfrac{x+1}{a-2}\)
16 tháng 6 2023
`a)`
`6 \times 1 = 6`
`6 \times 4 = 24`
`6 \times 6 = 36`
`b)`
`12 \div 6 = 2`
`18 \div 6 = 3`
`48 \div 6 = 8`
`c)`
`6 \times 5 = 30`
`30 \div 6 = 5`
`30 \div 5 = 6`
24 tháng 2 2021
a) Ta có: \(2\left(3x+1\right)-4\left(5-2x\right)>2\left(4x-3\right)-6\)
\(\Leftrightarrow6x+2-20+8x>8x-6-6\)
\(\Leftrightarrow14x-18-8x+12>0\)
\(\Leftrightarrow6x-6>0\)
\(\Leftrightarrow6x>6\)
hay x>1
Vậy: S={x|x>1}
b) Ta có: \(9x^2-3\left(10x-1\right)< \left(3x-5\right)^2-21\)
\(\Leftrightarrow9x^2-30x+3< 9x^2-30x+25-21\)
\(\Leftrightarrow9x^2-30x+3-9x^2+30x-4< 0\)
\(\Leftrightarrow-1< 0\)(luôn đúng)
Vậy: S={x|\(x\in R\)}
Y
3 tháng 4 2022
\(a,x=\dfrac{1}{5}+\dfrac{-3}{7}\)
\(x=\dfrac{7}{35}+\dfrac{-15}{35}\)
\(x=-\dfrac{8}{35}\)
\(b,\dfrac{3}{5}-\dfrac{4}{7}:x=\dfrac{-9}{10}\)
\(\dfrac{4}{7}:x=\dfrac{3}{5}-\dfrac{-9}{10}\)
\(\dfrac{4}{7}:x=\dfrac{3}{2}\)
\(x=\dfrac{4}{7}:\dfrac{3}{2}\)
\(x=\dfrac{4}{7}\times\dfrac{2}{3}\)
\(x=\dfrac{8}{21}\)
\(c,x-\left(\dfrac{-3}{4}\right)=\dfrac{-2}{3}-\dfrac{1}{2}\)
\(x+\dfrac{3}{4}=\dfrac{-4}{6}-\dfrac{3}{6}\)
\(x+\dfrac{3}{4}=-\dfrac{7}{6}\)
\(x=-\dfrac{7}{6}-\dfrac{3}{4}\)
\(x=-\dfrac{23}{12}\)
\(d,\dfrac{-5}{9}-x=\dfrac{1}{3}+\dfrac{7}{18}\)
\(\dfrac{-5}{9}-x=\dfrac{6}{18}+\dfrac{7}{18}\)
\(\dfrac{-5}{9}-x=\dfrac{13}{18}\)
\(x=\dfrac{-5}{9}-\dfrac{13}{18}\)
\(x=\dfrac{-10}{18}-\dfrac{13}{18}\)
\(x=-\dfrac{23}{18}\)
31 tháng 5 2017
ĐKXĐ: \(x\ne\pm3,x\ne\dfrac{9}{2}\)
= \(\left[\dfrac{x}{2\left(x-3\right)}-\dfrac{x^2}{\left(x-3\right)\left(x+3\right)}+\dfrac{x}{2x-9}.\dfrac{3\left(x-3\right)-x}{x\left(x-3\right)}\right]\) : \(\dfrac{x^2-5x-6}{-2\left(x-3\right)\left(x+3\right)}\)
= \(\left[\dfrac{x}{2\left(x-3\right)}-\dfrac{x^2}{\left(x-3\right)\left(x+3\right)}+\dfrac{1}{x-3}\right]:\dfrac{-\left(x^2-5x-6\right)}{2\left(x-3\right)\left(x+3\right)}\)
= \(\dfrac{x\left(x+3\right)-2x^2+2\left(x+3\right)}{2\left(x-3\right)\left(x+3\right)}:\dfrac{-\left(x^2-5x-6\right)}{2\left(x-3\right)\left(x+3\right)}\)
= \(\dfrac{-2\left(x^2-5x-6\right)\left(x-3\right)\left(x+3\right)}{-2\left(x^2-5x-6\right)\left(x-3\right)\left(x+3\right)}=1\)
C
B