Question

If x2 + 2 = 2x, then find the value of x4 - x3 + x2 + 2. Also show the method please.

Answer 1

x^2+2=2x

x^2-2x+2=0

(x-1)^2=0

x=1

now, x^4-x^3+x^2+2

=1^4-1^3+1^2+2

=1-1+1+2

=3

hence ans is 3

Answer 2

Answer:

The value is 0

Step-by-step explanation:

Given that if $x^2+2=2x$

we have to find the value of $x^4-x^3+x^2+2$

$x^2+2=2x$

$x^2=2x-2$

now, $x^4-x^3+x^2+2$

$=(2x-2)^2-x(2x-2)+2x-2+2$

$=4x^2+4-8x-2x^2+2x+2x-2+2$

$=2x^2-4x+4$

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

Hence, the value is 0