125 $x^{4}$ -74946 $x^{2}$ +186777=0

asked by guest
on Sep 21, 2024 at 7:03 am



You asked:

Solve the equation \(125 \cdot {x}^{4} - 74946 \cdot {x}^{2} + 186777 = 0\) for the variable \(x\).

MathBot Answer:

The 4 solutions to the equation are: \[\begin{aligned}x &= \sqrt{\frac{37473}{125} - \frac{126 \sqrt{86979}}{125}} \approx 1.5819609\\x &= \sqrt{\frac{37473}{125} + \frac{126 \sqrt{86979}}{125}} \approx 24.434922\\x &= - \sqrt{\frac{37473}{125} - \frac{126 \sqrt{86979}}{125}} \approx -1.5819609\\x &= - \sqrt{\frac{37473}{125} + \frac{126 \sqrt{86979}}{125}} \approx -24.434922\end{aligned}\]

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