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Manipulating the quadratic formula

The problem is from Numerical Methods. Please show each step of your solution and tell me the theorems, definitions, etc. if you use any.

12. Improving the quadratic formula...

Please see attached.


Solution Preview

Ok, as for x1, we have:

x1= (-b+sqrt(b^2- 4ac))/(2a)

Now we multiply the top and the bottom by (-b- sqrt(b^2- 4ac)) i.e.

x1= [(-b+sqrt(b^2- 4ac))/(2a)]* [ (-b- sqrt(b^2- 4ac))/(-b- sqrt(b^2- 4ac))], so

x1= [(-b+sqrt(b^2- ...

Solution Summary

This shows how to manipulate the quadratic formula into a given form.