find the roots of x^4-2x^2+1=0
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Answer:
Step-by-step explanation:
x^4 - 2x^2 + 1 = 0
x^2 (x^2 - 2) + 1 = 0
now outside x^2 goes under 0 in RHS because it is in multiply in LHS
x^2 - 2 + 1 = 0
x^2- 1 = 0
(x)^2 - (1)^2 = 0
(x - 1)(x + 1) = 0
it implize that ,
x = 1 OR x = -1
therefore , 1 and -1 are required root of the equation
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