-200000000/x^2+800000000/(6000-2x^2)=5

asked by guest
on Nov 17, 2024 at 12:21 am



You asked:

Solve the equation −200000000x2+8000000006000−2x2=5\frac{-200000000}{{x}^{2}} + \frac{800000000}{6000 - 2 {x}^{2}} = 5 for the variable xx.

MathBot Answer:

The 4 solutions to the equation are: x=−50−1199975+143997600095≈−31.62304x=50−1199975+143997600095≈31.62304x=−501199975+143997600095i≈−10954.36ix=501199975+143997600095i≈10954.36i\begin{aligned}x &= - 50 \sqrt{- \frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} \approx -31.62304\\x &= 50 \sqrt{- \frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} \approx 31.62304\\x &= - 50 \sqrt{\frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} i \approx -10954.36 i\\x &= 50 \sqrt{\frac{119997}{5} + \frac{\sqrt{14399760009}}{5}} i \approx 10954.36 i\end{aligned}

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

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