(0.85*41.4*X*500)+(4 π\pi (32)^2)/4(600(((X/0.7542)-66)/(X/0.7542))-0.85*41.4)=5/4* π\pi *32^2*525

asked by guest
on Nov 15, 2024 at 2:40 pm



You asked:

Solve the equation 0.85⋅41.4X⋅500+4π⋅3224(600⋅X0.7542−66X0.7542−0.85⋅41.4)=54π⋅322⋅5250.85 \cdot 41.4 X \cdot 500 + \frac{4 \pi \cdot {32}^{2}}{4 \left(600 \cdot \frac{\frac{X}{0.7542} - 66}{\frac{X}{0.7542}} - 0.85 \cdot 41.4\right)} = \frac{5}{4} \pi \cdot {32}^{2} \cdot 525 for the variable XX.

MathBot Answer:

The 2 solutions to the equation are: X=49777218827+41725925270780052001−2493181067022486720π+900369914345497600π2198756639+3795512960π198756639≈119.98523X=49777218827−41725925270780052001−2493181067022486720π+900369914345497600π2198756639+3795512960π198756639≈52.878781\begin{aligned}X &= \frac{497772}{18827} + \frac{4 \sqrt{1725925270780052001 - 2493181067022486720 \pi + 900369914345497600 \pi^{2}}}{198756639} + \frac{3795512960 \pi}{198756639} \approx 119.98523\\X &= \frac{497772}{18827} - \frac{4 \sqrt{1725925270780052001 - 2493181067022486720 \pi + 900369914345497600 \pi^{2}}}{198756639} + \frac{3795512960 \pi}{198756639} \approx 52.878781\end{aligned}

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