Question

If x 2 + 2 = 2x then what is the value of x 4 – x 3+ x 2 +5 ?

Answer 1

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