Question 729566: X3 - 3X2 + 4 = 0
Answer by mbmodak(32)   (Show Source):
You can put this solution on YOUR website! 729566 (2013-03-23 01:27:51): X3 - 3X2 + 4 = 0 or x^3-3x^2+4=0
arrange the equation as x^3-4x^2+4x+x^2-4x+4 take first three terms together & second three terms together
(x^3-4x^2+4x)+(x^2-4x+4)=0
x(x^2-4x+4)+(X^2-4x+4)=0
x(x-2)^2+(x-2)^2=0 (identity a^2-2ab+b^2=(a-b)^2 )
(x-2)^2(X+1)=0
either (x-2)^2=0 or (x+1)=0
(x-2)^2=0 (x-2)=0 x=2,2
(x+1)=0 x=-1
x=2 ,2 ,-1 are the solutions
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