Question

Find the real roots of x⁴ = 16

Answer 1

x⁴ = 16 

⇒ x⁴ – 16 = 0 

(i.e.,) x⁴ – 4² = 0 

⇒ (x² + 4)(x² – 4) = 0

x² + 4 = 0 will have no real roots 

So solving x² – 4 = 0 

x² = 4

x = ±√4 = ±√2

So the real roots are x = ±2