Question

solve for all zeros, reduce as much as possible, show all work. x^4 + 14x^2 + 45 = 0

Answer 1

first, factor it: (x²+5)(x²+9)=0
x²=-5=5i², or x²=-9=9i²
x=(√5)i, -(√5)i, 3i, or -3i