P(x)=3x^3-10x^2-5x.
The three
roots of this equation can be found by equating 3x^3-10x^2-5x to
0.
=> 3x^3-10x^2-5x
=0
=> x ( 3x^2 - 10x - 5) =
0
So one of the roots is 0
The
other two roots are
x2 = [-b + sqrt (b^2 -
4ac)]/2a
=> x2 = [10 + sqrt (100 +
60)]/6
=> x2 = 10/6 + (sqrt 160) /
6
x3 = [-b - sqrt (b^2 -
4ac)]/2a
=> x3 = [10 - sqrt (100 +
60)]/6
=> x3 = 10/6 - (sqrt 160) /
6
Therefore the roots are 0, 10/6 + (sqrt
160) / 6 and 10/6 - (sqrt 160) / 6.
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