10{1-x/10} -10-x-0.1+x/100=0.05

asked by guest
on Nov 27, 2024 at 6:21 am



You asked:

Solve the equation \(10 \cdot \left(1 - \frac{x}{10}\right) - 10 - x - 0.1 + \frac{x}{100} = 0.05\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = - \frac{15}{199} = -0.0\overline{753768844221105527638190954773869346733668341708542713567839195979899497487437185929648241206030150}\]

\[\begin{aligned}10 \cdot \left(1 - \frac{x}{10}\right) - 10 - x - 0.1 + \frac{x}{100} &= 0.05\\-1.99 x - 0.1 &= 0.05\\-1.99 x &= 0.15\\x &= - \frac{15}{199}\end{aligned}\]

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