Quadratics Flashcards
if a is +ve
open up curve U
if a is -ve
open down curve ^
quadratic form
quadratic formula
completing the square form
exact form
keep as fraction
h=
h=b/2a
k=
k=c-b^2/4a
if its a root
always put +-
points of intersection
equate
x^2 x x^4
= x^6
if ax^4 + bx^2 + c =0
sub u=x^2
if ax^6 + bx^3 +c=0
sub u=square root of x
discriminant
b^2-4ac
if b^2-4ac>0
2 distinct real roots, graph crosses the x-axis at 2 distinct points
if b^2-4ac=0
one real root is sometimes called 2 repeated roots or equal roots
if b^2-4ac<0
then no real roots or graph does not touch the x axis at all
x^1/2=u
x=u^2
x^1/3=u
x=u^3
x^1/4=u
x=u^4
area of a rectangle=
l*w
when they say no sattionary point it basically means
no real roots so b^2-4ac<0
square root of x * square root of x
x