August 19, 2007
This session is based on the material in section 2.4 of Kelley's "The Humongous Book of Calculus Problems"
The section presents a series of problems involving the solving of quadratic equations.
Problem 2.28

In[62]:=

Solve[4x^2 + 4x15]

Out[62]=

{{x -5/2}, {x3/2}}

In[63]:=

Solve[5x^23x - 6]

Out[63]=

{{x1/10 (3 -  111^(1/2))}, {x1/10 (3 +  111^(1/2))}}

In[64]:=

Solve[x^2 - 14x + 30]

Out[64]=

{{x7 - 46^(1/2)}, {x7 + 46^(1/2)}}

In[65]:=

Solve[4x^2 - 20x + 70]

Out[65]=

{{x1/2 (5 - 3 2^(1/2))}, {x1/2 (5 + 3 2^(1/2))}}

These problems were all easily handled by Mathematica. But although it quickly gives the answer, there is no sense of how it arrived at the answer.


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