time saver pack 2 - Algebra at its best
Here's the second pack...
Algebra at its shortest best...
An equation axn + bxn-1 + cxn-2 + dxn-3 + ............................. + Qx + P = 0
will have n roots and sum of the roots--->
1. Taken 1 at a time = 
2. Taken 2 at a time = 
3. Taken 3 at a time = 
Taken n at a time = 
If n is odd sum will be negative, if n is even it will be positive.
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A quadratic equation f(x) = ax2 + bx +c
will be
1.
real
Iff D = b2 - 4ac < 0
2. 
= 
When b2 - 4ac > 0
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If b2 - 4ac > 0 and a > 0 then
-----------------f(x) > 0 for x <
or x < 
f(x) < 0 for
< x < 
f(x) = 0 for x =
or 
If b2 - 4ac > 0 and a < 0 then
-----------------f(x) < 0 for x <
or x > 
f(x) > 0 for
< x < 
f(x) = 0 for x =
or 
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If a > 0 then f(x) has least value at x = -b/2a
and value =
If a < 0 then f(x) has maximum value at x = -b/2a
and value = 
That's it.
Rate and comments awaited.
Watch out for pack 3
With nastiness
Mr. Nasty
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