The number of real roots of|x|^3– 3(x)^2+ 3|x| – 2 =0is 1)12)23)34)none of these
Meghendra Agrawal , 6 Years ago
Grade
Algebra> The number of real roots of |x|^3 – 3(x)^...
1 AnswersTony
Last Activity: 6 Years ago
By differentiating ,equation becomes 3x^2-6x+3=3*(x-1)*(x-1).
So,at x =1, the above eq will be zero and hence it will be a turning point for the graph of the given equation.
As( x-1) is occurring twice ,it can be considered two turning points(actually one meet ing at same place on graph of the eq.mentinoned in the question.
So as their are 2 turning points ,
Number of real roots= turning points +1
=2+1=3
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