SOLUTION: x^3 ______ +1= 10 4 ______ x Can be written as x^4+ax+b=0 Find the values of a and b I would once again like to request someone's help, and if the person ca

Algebra ->  Graphs -> SOLUTION: x^3 ______ +1= 10 4 ______ x Can be written as x^4+ax+b=0 Find the values of a and b I would once again like to request someone's help, and if the person ca      Log On


   



Question 750103: x^3
______ +1=
10
4
______
x
Can be written as x^4+ax+b=0 Find the values of a and b
I would once again like to request someone's help, and if the person can show the working of the solution I would really be grateful for it.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%5E3%2B1%29%2F10=4%2Fx can be written as (x^3+1)/10=4/x
Multiplying both sides of the equal sign times 10x we get the equivalent equation
x%28x%5E3%2B1%29=40 --> x%5E4%2Bx=40 --> x%5E4%2Bx-40=0
Comparing it to x%5E4%2Bax%2Bb=0 we find
a=1 and b=-40