x = ± 10i or x = ±√5
consider the factors of - 500 which sum to + 95
These are + 100 and - 5
[tex]x^{4}[/tex] + 95x² - 500 = (x² + 100)(x² - 5) = 0
equate each factor to zero and solve for x
x² + 100 = 0 ⇒ x² = - 100 has no real solutions but has complex roots
x = ± 10i
x² - 5 = 0 ⇒ x² = 5 ⇒ x = ±√5
