What are the solutions of the equation x4 + 95x2 - 5000? Use factoring to solve.
O x-+√√5 and x = ±10
O x-ti√√5 and x = ±10/
O x-+√√5 and x = ±10i
O x-ti√√5 and x = ±10

Respuesta :

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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