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\(\frac{x-20}{x-10}=\frac{x+40}{x+70}=\frac{-20-40}{-10-70}=\frac{6}{8}=\frac{3}{4}.\)
\(\Rightarrow4\cdot\left(x-20\right)=3\cdot\left(x-10\right)\Leftrightarrow4x-80=3x-30\Leftrightarrow x=50.\)
bn dinh thuy linh gioi that, toàn dung ngôn ngữ toán hoc nên bai lam rat ấn tuong
a) (x + 15) : x = 4 : 3
=> x : x + 15 : x = \(\frac{4}{3}\)
=> 1 + 15 : x = \(\frac{4}{3}\)
=> 15 : x = \(\frac{4}{3}\)- 1 = \(\frac{1}{3}\)
=> x = 15 : \(\frac{1}{3}\)
=> x = 45
\(a,\frac{x+15}{x}=\frac{4}{3}\Rightarrow4x=3x+45\Leftrightarrow x=45\)
\(b,\frac{7,5-x}{3,5+x}=\frac{5}{6}\Rightarrow17,5+5x=45-6x\Leftrightarrow11x=27,5\Rightarrow x=2,5\)
\(c,\frac{x-20}{x-10}=\frac{x+40}{x+70}\Rightarrow\left(x-20\right)\left(x+70\right)=\left(x-10\right)\left(x+40\right)\)
\(\Leftrightarrow x^2+50x-1400=x^2+30x-400\)
\(\Leftrightarrow20x=1000\)
\(\Rightarrow x=50\)
a. \(\frac{\left(x+15\right)}{x}=\frac{4}{3}\Leftrightarrow4x=3\left(x+15\right)\Leftrightarrow4x=3x+45\Leftrightarrow x=45\)
Vậy x=45
b. \(\frac{7,5-x}{3,5+x}=\frac{5}{6}\Leftrightarrow5\left(3,5+x\right)=6\left(7,5-x\right)\Leftrightarrow17,5+5x=45-6x\Leftrightarrow11x=27,5\Leftrightarrow x=2,5\)
Vậy x=2,5
c. \(\frac{x+20}{x-10}=\frac{x+40}{x+70}\Leftrightarrow\left(x+40\right)\left(x-10\right)=\left(x+20\right)\left(x+70\right)\)
\(\Leftrightarrow x^2+30x-400=x^2+90x+1400\Leftrightarrow-60x=-30\Leftrightarrow x=-30\)
Vậy x=-30
\(\frac{x-20}{x-10}=\frac{x+40}{x+70}\)
\(\Rightarrow\) (x - 20)(x + 70) = (x - 10)(x + 40)
\(\Rightarrow\) x2 + 70x - 20x - 140 = x2 + 40x - 10x - 400
\(\Rightarrow\) x2 + 70x - 20x - x2 - 40x + 10x = - 400 + 140
\(\Rightarrow\) 20x = 260
\(\Rightarrow\) x = 130
đề như vậy hả bạn?
\(\frac{x-20}{x-10}=\frac{x+40}{x+70}\)
=> \(\left(x-20\right)\left(x+70\right)=\left(x+40\right)\left(x-10\right)\)
=> \(x^2+70x-20x-1400=x^2-10x+40x-400\)
=> \(\left(x^2-x^2\right)+\left(70x-20x+10x-40x\right)=-400+1400\)
=> \(-43x=1000\Rightarrow x=\frac{-1000}{43}\)
a, \(\left(7,5-x\right):\left(3,5+x\right)=5:6\)
\(\Leftrightarrow\frac{7,5-x}{3,5+x}=\frac{5}{6}\)
\(\Leftrightarrow6.\left(7,5-x\right)=5.\left(3,5+x\right)\)
\(\Leftrightarrow45-6x=17,5+5x\)
\(\Leftrightarrow45-17,5=5x+6x\)
\(\Leftrightarrow27,5=11x\)
\(\Leftrightarrow x=\frac{27,5}{11}=2,5\)
Vậy : \(x=2,5\)
b) Tương tự như câu a.
Chúc bạn học tốt nhé !!
\(\frac{x-20}{x-10}=\frac{x+40}{x+70}\)
\(\Leftrightarrow\left(x-20\right)\left(x+70\right)=\left(x-10\right)\left(x+40\right)\)
\(\Leftrightarrow x^2+70x-20x-140=x^2+40x-10x-140\)
\(\Leftrightarrow50x=30x\)
\(\Leftrightarrow50x-30x=0\)
\(\Leftrightarrow20x=0\)
\(\Leftrightarrow x=0\)
Chết , sửa chút !!! Nhân ngu wá
\(\frac{x-20}{x-10}=\frac{x+40}{x+70}\)
\(\Leftrightarrow\left(x-20\right)\left(x+70\right)=\left(x-10\right)\left(x+40\right)\)
\(\Leftrightarrow x^2+70x-20x-140=x^2+40x-10x-400\)
\(\Leftrightarrow20x+260=0\)
\(\Leftrightarrow x=-13\)