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26 + 5x = 3x - 56
5x - 3x = 56 - 26
5x - 3x = 30
2x = 30
x = 30 : 2
x = 15
a) \(\overline{3x}+\overline{5x}-\overline{1x}=72\)
\(\Leftrightarrow\left(30+x\right)+\left(50+x\right)-\left(10+x\right)=72\)
\(\Leftrightarrow30+x+50+x-10-x=72\)
\(\Leftrightarrow x+70=72\)
\(\Leftrightarrow x=2\)
Vậy \(x=2\)
b) \(x.\left(x+1\right)=132\)
\(\Leftrightarrow x^2+x=132\)
\(\Leftrightarrow x^2+x-132=0\)
\(\Leftrightarrow x^2+12x-11x-132=0\)
\(\Leftrightarrow x.\left(x+12\right)-11.\left(x+12\right)=0\)
\(\Leftrightarrow\left(x-11\right).\left(x+12\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-11=0\\x+12=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=11\\x=-12\end{cases}}\)
Vậy \(x=11\)hoặc \(x=-12\)
Ta có :
\(\frac{3x-1}{40-5x}=\frac{25-3x}{5x-34}\)
\(=>\left(3x-1\right)\left(5x-34\right)=\left(40-5x\right)\left(25-3x\right)\)
\(=>15x^2-102x-5x+34=1000-120x-125x+15x^2\)
\(=>15x^2-107x+34=1000-245x+15x^2\)
\(=>34-107x=1000-245x\)
\(=>1000-245x+107x=34\)
\(=>1000-138x=34\)
\(=>138x=1000-34=966\)
\(=>x=\frac{966}{138}=7\)
Câu a:
\(\frac{x+5}{x+9}\) = \(\frac{x+4}{x+3}\)
(\(x\) + 5)(\(x+3\)) = (\(x+4\))(\(x+9\))
\(x^2\) + 3\(x\) + 5\(x\) + 15 = \(x^2\) + 9\(x\) + 4\(x\) + 36
\(x^2+3x+5x\) - \(x^2-9x\) - 4\(x\) = 36 - 15
(\(x^2-x^2\)) + (\(3x+5x\) - 9\(x-4x\)) = 21
0 + (8\(x\) - 9\(x\) - 4\(x\)) = 21
-\(x-4x\) = 21
-5\(x\) = 21
\(x\) = 21 : (-5)
\(x\) = - \(\frac{21}{5}\)
Vậy \(x=-\frac{21}{5}\)
26 + 5x = 3x + 56
5x – 3x = 56 – 26
2x = 30
x = 30 : 2 = 15