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2/3.x + 1/4 = 7/12
2/3.x = 7/12 - 1/4
2/3.x = 1/3
x = 1/3 : 2/3
x = 1/2
Bài làm
\(\frac{2}{3}x+\frac{1}{4}=\frac{7}{12}\)
\(\frac{2}{3}x=\frac{7}{12}-\frac{1}{4}\)
\(\frac{2}{3}x=\frac{7}{12}-\frac{3}{12}\)
\(\frac{2}{3}x=\frac{4}{12}\)
\(\frac{2}{3}x=\frac{1}{3}\)
\(x=\frac{1}{3}:\frac{2}{3}\)
\(x=\frac{1}{3}.\frac{3}{2}\)
\(x=\frac{1}{2}\)
Vậy \(x=\frac{1}{2}\)
\(N=\left|x+3\right|+\left|x+4\right|+\left|x+5\right|\)
\(\left|x+3\right|,\left|x+4\right|,\left|x+5\right|\ge0\)
\(\Rightarrow N\ge0\)
\(N=\left(x+3\right)+\left(x+4\right)+\left(x+5\right)\ge0\)
\(N=\left(x+x+x\right)+\left(3+4+5\right)\)
\(N=3x+12\)
\(\Rightarrow N=3x\ge12\)
\(\Rightarrow N=x\ge4\)
\(\Rightarrow N\ge4\)
a) \(\frac{3x-6}{x+4}=\frac{2\left(x+5\right)+\left(x-3\right)}{x-2}\)
\(\frac{3\left(x-2\right)}{x+4}=\frac{2\left(x+5\right)+x-3}{x-2}\)
\(\frac{3\left(x-4\right)}{x+4}=\frac{3x+7}{x-2}\)
\(3\left(x-2\right)\left(x-2\right)=\left(3x+7\right)\left(x+4\right)\)
\(3\left(x-2\right)^2=\left(3x+7\right)\left(x+4\right)\)
\(3x^2-12x+12=3x^2+12x+7x+28\)
\(3x^2-12x+12=3x^2+19x+28\)
\(-12x+12=19x+28\)
\(12=19x+28+12x\)
\(19x+28+12x=12\) (chuyển vế)
\(31x+28=12\)
\(31x=12-28\)
\(31x=-16\)
\(x=-\frac{16}{31}\)
\(\Rightarrow x=-\frac{16}{31}\)
Ta có : \(\frac{1-x}{x}+1=x\)
Vậy \(\frac{\left(x+1\right).x}{2}=153\)
(x+1)x=153.2
(x+1)x=306
=> x=17
tim so so hang ban nhe