Math DSAT

Discriminant

b²-4ac

Discriminant usage

To find the number of solutions

Discriminant > 0

2 solutions

Discriminant = 0

1 solution

Discriminant < 0

No solutions

Circle equation

(x-h)²+(y-k)²=r²

Middle point of a circle

(h,k)

Circle equation note

Negative

Exponent multiplication rule

a^b * a^c = a^(b+c)

Exponent division rule

a^b / a^c = a^(b-c)

Anything raised to zero

1

Negative exponent

a^-b = 1/a^b

Fractional exponent rule

Numerator stays Denominator out

Sum of solutions for quadratics

(x1+x2) = -b/a

Alternative formula for quadratics

y=a(x-h)²+k

Product of solutions for quadratics

(x1 * x2) = c/a

X-coordinate of vertex (letter method)

-b/2a

X-coordinate of vertex (solutions method)

x+x/2

What is cos (coordinates)

x

What is sin (coordinates)

y

What is tan

sin/cos