Expanding the given equation:
x4+x2+1x^4 + x^2 + 1x4+x2+1x4+x2+2x^4 + x^2 + 2x4+x2+2 = 12
Expanding the left side:
x^8 + 2x^6 + 2x^6 + 4x^4 + x^4 + x^2 + 2x^6 + 2x^4 + 2x^2 + x^4 + x^2 + 2 = 12
Simplifying:
x^8 + 4x^6 + 6x^4 + 3x^2 + 2 = 12
Rearranging terms:
x^8 + 4x^6 + 6x^4 + 3x^2 - 10 = 0
This is the final quadratic equation formed by the given expression.
Expanding the given equation:
x4+x2+1x^4 + x^2 + 1x4+x2+1x4+x2+2x^4 + x^2 + 2x4+x2+2 = 12
Expanding the left side:
x^8 + 2x^6 + 2x^6 + 4x^4 + x^4 + x^2 + 2x^6 + 2x^4 + 2x^2 + x^4 + x^2 + 2 = 12
Simplifying:
x^8 + 4x^6 + 6x^4 + 3x^2 + 2 = 12
Rearranging terms:
x^8 + 4x^6 + 6x^4 + 3x^2 - 10 = 0
This is the final quadratic equation formed by the given expression.