LESSON #7 FINDING ROOTS OF POLYNOMIAL EQUATIONS The ...

LESSON #7 FINDING ROOTS OF POLYNOMIAL EQUATIONS - Finding the roots of equations and systems of equations, such as type that arise in chemical equilibrium and kinetics problems. - There are several commands available for this purpose.

The Solve command: Example # 1: In[1]:= Out[1]=

Solve@x + 1 ã 0, xD 88x Ø - 1
>

- You can use the replacement rules to evaluate the roots for a particular choice ofthe coefficients: In[3]:=

Out[4]=

In[5]:= Out[5]=

roots = SolveAa * x2 + b * x + c ã 0, xE; roots ê. 8a Ø 1, b Ø 3, c Ø 1< ::x Ø

1 2

I- 3 -

5 M>, :x Ø

1 2

I- 3 +

5 M>>

N@%D 88x Ø - 2.61803