The solutions of the given equation is determined as x = ±√5 and x = ±10i.
Solution of the equation
The solutions of the equation x⁴ + 95x² - 5000 is calculated as follows;
x⁴ + 95x² - 5000 = 0
factoring the above equation we get;
x²(x² + 100) - 5(x² + 100) = 0
(x² - 5)(x² + 100) = 0
x² - 5 = 0 or x² - 100 = 0
x = ±√5
x = ±√(-100) = ±10i
Thus, the solutions of the given equation is determined as x = ±√5 and x = ±10i.
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