Question

find the real roots x ^4 =16
​

Answer 1

Here, x⁴ = 16

or, x⁴ = 2⁴

or, x = 2

Thus, x = 2 is the required root.

Answer 2

Answer:

The number of real roots of x^4 = 16 is 2

Step-by-step explanation:

x^4 = 16

x^4 - 16 = 0

(x^2)^2 - 4^2 = 0

(x^2 - 4)(x^2 + 4) = 0

(x^2 - 2^2)(x^2 + 4)= 0

(x-2)(x+2)(x^2 + 4) = 0

so either (x-2)=0 or (x+2)=0 or (x^2+4)=0

therefore x = 2 ,

x = -2,

x = 2i where i = √-1 that is iota which is

complex number .

Therefore real roots are 2 and -2 . So, number of real roots

is 2