Here are two steps from the derivation of the quadratic formula. x^2 + b/a x = - c/a
x^2 + b/a x + (b/2a)^2 = - c/a + (b/2a)^2
what took place between the first step and the second step?

Explanation is in the file

tinyurl.com/wpazsebu

think about it deeply and passionately about this property

i am sorry

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0