Question 63125
(x - (2 - i))(x - (2 + i))
((x - 2) - i)((x - 2) + i)
(x - 2)^2 - i^2
x^2 - 4x + 4 + 1
x^2 - 4x + 5
Check:
{{{x = (-b +- sqrt( b^2 - 4*a*c ))/(2*a) }}}
{{{x = (4 +- sqrt( 16 - 20 ))/(2) }}}
{{{x = (4 +- i*sqrt( 4 ))/(2) }}}
{{{x = (4 +- 2i)/(2) }}}
{{{x = 2 +- i }}} Correct....
(x^2 - 4x + 5)(x - 1)(x - 2)
(x^2 - 4x + 5)(x^2 - 3x + 2)
x^4 - 4x^3 + 5x^2 - 3x^3 + 12x^2 - 15x + 2x^2 - 8x + 10
x^4 - 7x^3 + 19x^2 - 23x + 10
2x^4 - 14x^3 + 38x^2 - 46x + 20 = f(x)
{{{graph(400,400,-10,10,-10,10,2x^4 - 14x^3 + 38x^2 - 46x + 20)}}}