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b²-4(a)(c )=0
1 (repeated) solution
b²-4(a)(c ) > 0
2 unequal solutions
b²-4(a)(c )<0
No solution / imaginary solution
Vertex formula
a(x-h)²+k
circle equation
(x-h)²+(y-k)²=r²
point slope formula
y-y1=m(x-x1)
Standard form
Ax+By=C
sum of roots
-b/a
product of roots
c/a
(a+b)²
a² + 2ab + b²
average rate of change
(f(x) - f(a))/x-a

area of similar figures
A1/A2 = (AB/EF)²

volume of similar figures
V1/V2 = (AB/EF)³
x−x3−2x
30-60-90 triangles
f(x)
y1