4=x/1.6+x/ $\sqrt{\2(9.8)(0.8)}$

asked by guest
on Sep 19, 2024 at 7:35 pm



You asked:

Solve the equation \(4 = \frac{x}{1.6} + \frac{x}{\sqrt{2 \cdot 9.8 \cdot 0.8}}\) for the variable \(x\).

MathBot Answer:

The solution is: \[x = \frac{1568}{205} - \frac{448 \sqrt{2}}{205} \approx 4.5582065\]


\[\begin{aligned}4 &= x \left(\frac{5 \sqrt{2}}{28} + 0.625\right)\\x \left(0.625 - \frac{5 \sqrt{2}}{28}\right) &= -4\\x &= - \frac{4}{0.625 - \frac{5 \sqrt{2}}{28}}\end{aligned}\]