math
posted by jason .
solve the equation x^35x^24x+20=0
I need a hint on how to solve this
Look for the first root by graphical means or trialanderror. Note that when x=2,
x^35x^24x+20 = 820 8 +20 = 0.
Therefore 2 is one root and x2 is a factor.
Next, divide x2 into x^35x^24x+20 using long division, to get a quadratic factor. The result is
(x2)(x^23x10)
The quadratic factor is just (x5)(x+2), so the equation becomes
(x2)(x+2)(x5) = 0
This tells you that the other roots are x = 2 and +5.
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