Question

x⁴+4x²+16 solve fast​

Answer 1

Answer: (x²-2x+4) (x²+2x+4)

Step-by-step explanation:

x⁴+4x²+16 = (x⁴+8x²+16) - 4x² = (x²+4) - (2x²)

                 = (x²+4-2x) (x²+4+2x)

                 = (x²-2x+4) (x²+2x+4)

HOPE THIS HELPS/HELPED YOU!!!

Answer 2

Answer:

x = ±(√3 i +1)

Step-by-step explanation:

x⁴+4x²+16=0

let x²= p then

p²+4p+16=0

p={ -4 ±√(16-16*4) }/2

={ -4 ±√(-16*3) }/2

x²= { -2  ± 2√3 i )

=-3 +1 ± 2√3 i

= (±√3 i )²± 2√3 i +1

=(±√3 i ±1)²

thus x = ±(√3 i +1)