Power[\(40)Divide[1549.73*32,Power[x,2]-16]\(41),2]= Power[2500,2]

asked by guest
on Nov 18, 2024 at 8:31 am



You asked:

Solve the equation (1549.7332x216)2=25002{\left( \frac{1549.73 \cdot 32}{{x}^{2} - 16} \right)}^{2} = {2500}^{2} for the variable xx.

MathBot Answer:

The 4 solutions to the equation are: x=5599461255.9863632x=5599461255.9863632x=59946125i1.9587098ix=59946125i1.9587098i\begin{aligned}x &= - \frac{\sqrt{559946}}{125} \approx -5.9863632\\x &= \frac{\sqrt{559946}}{125} \approx 5.9863632\\x &= - \frac{\sqrt{59946}}{125} i \approx -1.9587098 i\\x &= \frac{\sqrt{59946}}{125} i \approx 1.9587098 i\end{aligned}


ii is the imaginary unit, defined as i2=1i^2 = -1.