Question

Find all the solutions, including imaginary solutions if they exist, of the following equation.

x^4 +5x^2 – 36 = 0.

Answer 1

x = ±3i or x = ±2

Explanation:

x^4 + 5x² - 36 = 0

Think of this equation as a quadratic in x².

(x² + 9)(x² - 4) = 0

x² = -9 or x² = 4

x = ±3i or x = ±2