4x⁴=9x²-4

asked by guest
on Nov 17, 2024 at 4:24 am



You asked:

Solve the equation \(4 \cdot {x}^{4} = 9 \cdot {x}^{2} - 4\) for the variable \(x\).

MathBot Answer:

The 4 solutions to the equation are: \[\begin{aligned}x &= - \frac{1}{4} + \frac{\sqrt{17}}{4} \approx 0.78077641\\x &= \frac{1}{4} - \frac{\sqrt{17}}{4} \approx -0.78077641\\x &= \frac{1}{4} + \frac{\sqrt{17}}{4} \approx 1.2807764\\x &= - \frac{1}{4} - \frac{\sqrt{17}}{4} \approx -1.2807764\end{aligned}\]

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