If x 2 + 2 = 2x then what is the value of x 4 – x 3+ x 2 +5 ?
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Answer:
X^2+2=2X
X^2+1-2X = -1
(x-1)^2 =-1
x-1= i where i (iota) is equal to sq root of (-1).
x=1+i
x^2= 1-1+2i=2i
x^4=-4
x^3 = 2i*(1+i)
putting these values in
X^4-X^3+X^2+2
we get
X^4-X^3+X^2+2 =0
X^2+2=2X
X^2+1-2X = -1
(x-1)^2 =-1
x-1= i where i (iota) is equal to sq root of (-1).
x=1+i
x^2= 1-1+2i=2i
x^4=-4
x^3 = 2i*(1+i)
putting these values in
X^4-X^3+X^2+2
we get
X^4-X^3+X^2+2 =0
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