SOLUTION: Hi I really need some help in solving this..this is new to me.Any help will be gladly be appreciated. how do you solve f(x)= Xcube minus 4x squared plus 7x minus 2 f(x) =

Question 149309: Hi I really need some help in solving this..this is new to me.Any help will be gladly be appreciated.
how do you solve
f(x)= Xcube minus 4x squared plus 7x minus 2
f(x) = (4x - 7) to the power of 20
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
By solve, I assume you mean find the zeros where f(x)=0.

Typically the easiest way is to graph and look for the function crossing the x axis.

Looks like it crosses once at about x=1/3.
Since there are three roots for a cubic equation, the other two roots are complex.
Using Excel to window down the real solution gives x=0.349370808.
That gives a value of f(x)=-2.6e-9. That's pretty close to zero.
The other two roots are complex.

There is an explanation of how to find zeros for a cubic equation at http://www.1728.com/cubic.htm.

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The other function is simpler.

This equals zero when

There are 20 roots at x=7/4.

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