Respuesta :
Answer:
- 4
Step-by-step explanation:
Given function
- f(x)=x⁴+5x²+6
Zeros of the function:
- x⁴+5x²+6 = 0
- (x²)² + 2x² + 3x² + 6= 0
- (x² + 2)(x² + 3) = 0
1. x²+ 2 = 0
- x²= -2
- x₁,₂ = ±√2i
2. x² + 3 = 0
- x² = -3
- x₃,₄ = ±√3i
As we see there are 4 complex zeros