Quadratics
2
The discriminant is b −4ac
2
b −4ac>0 2 Solutions
2
b −4ac=0 1 Solution
2 0 Solutions
b −4ac<0
Solving Quadratics
Factorise The Formula Complete the
−b±√ b −4ac
2 Square
x=
2a
, Differentiation
times then minus
4
y=3 x +5 x−2
dy 3
=12 x +5
dx
dy
is the tangent's gradient
dx
For the normal: flip and minus
Integration
Add then divide (don't forget to plus c!)
dy 3
=12 x +5
dx
4
y=3 x +5 x +c
2
The discriminant is b −4ac
2
b −4ac>0 2 Solutions
2
b −4ac=0 1 Solution
2 0 Solutions
b −4ac<0
Solving Quadratics
Factorise The Formula Complete the
−b±√ b −4ac
2 Square
x=
2a
, Differentiation
times then minus
4
y=3 x +5 x−2
dy 3
=12 x +5
dx
dy
is the tangent's gradient
dx
For the normal: flip and minus
Integration
Add then divide (don't forget to plus c!)
dy 3
=12 x +5
dx
4
y=3 x +5 x +c
