Radicals and Quadratics kick my arse

[Aerith's Knight]

one word: abc-equation

..

okay two words.

ax^2 + bx + c = 0

D = b^2 - 4ac

x = (b +/- sqrt(D)) / 2a


Works every time.

for the rest of them there are simple steps such as

x^8 = (ax+1)^8

x = ax + 1

..

For logs always remember

10 log 1000 = 3

so 10^3 = 1000

And substitute x for something in that and you know the solution.

If you need a radical just use the differential of it.

y(x) = ax^2 + bx + c

dy/dx = 2ax + b

Use dy/dx = 0 if you want to know the optimum or minimum.

Intergrate if you want to know the surface beneath the graph. The total amount.

y(x) = ax + b

F(x) = 1/2 ax^2 + bx + C

For surface of a specific point use

F(x1) - F(x2)

You would get the surface between x1 and x2