28148=(204.2x)^2-(23691.8/x^2)

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on Nov 17, 2024 at 12:29 pm



You asked:

Solve the equation 28148=(204.2x)2−23691.8x228148 = {\left( 204.2 x \right)}^{2} - \frac{23691.8}{{x}^{2}} for the variable xx.

MathBot Answer:

The 4 solutions to the equation are: x=3518501042441+7412310145951042441≈1.0786199x=−3518501042441+7412310145951042441i≈0.69883531ix=−3518501042441+7412310145951042441≈−1.0786199x=−−3518501042441+7412310145951042441i≈−0.69883532i\begin{aligned}x &= \sqrt{\frac{351850}{1042441} + \frac{\sqrt{741231014595}}{1042441}} \approx 1.0786199\\x &= \sqrt{- \frac{351850}{1042441} + \frac{\sqrt{741231014595}}{1042441}} i \approx 0.69883531 i\\x &= - \sqrt{\frac{351850}{1042441} + \frac{\sqrt{741231014595}}{1042441}} \approx -1.0786199\\x &= - \sqrt{- \frac{351850}{1042441} + \frac{\sqrt{741231014595}}{1042441}} i \approx -0.69883532 i\end{aligned}

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

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