Question

Find the 0 of polynomials

x^4 = 1

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atleast 4 ans came

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Answer 1

Answer:

x^4=1

x=+1,-1 and -1,+1

Answer 2

Answer :

x = 1, -1, +i, -i

Step-by-step explanation:

x^4 = 1

=> x^4 - 1 = 0

=> (x)^2 - (1)^2 = 0

=> (x^2 - 1)(x^2 + 1) = 0[a^2 - b^2 = (a + b)(a - b)]

=> (x + 1)(x - 1)(x^2 + 1) = 0

(a)

x + 1 = 0

x = -1

(b)

x - 1 = 0

x = 1

(c)

x^2 + 1 = 0

x^2 = -1

x = ±√-1

x = ±i

Therefore, the values of x are 1, -1, ±i

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