1st output: R1 - First root
2nd output: R2 - Second root
3rd output: Y - y-coordinate of the vertex
4th output: X - corresponding x of Y, axis of symmetry
5th output: S1 - The number before the radical sign in the surd
6th output: S2 - The number inside the radical sign in the surd

For ax² + bx + c = 0 where A, B and C are constants,
Input a into [A?]
Input b into [B?]
Input c into [M?]
Output R1 and R2 are the roots of the equation
The roots are not real if [R<=>I] is shown on the top right corner

For x =

-b ± √(b² - 4ac)  /2a

,

Output S1 and S2 helps present the solution in surd form
x = S1 ± √S2

Finding the vertex of the graph 

The vertex of the graph is (X, Y)

ax² + bx + c = a (x - X) + Y where a = 1

In ax² + bx + c where a = 1,

Let

m  / n

be R1 and

y  / z

be R2

ax² + bx + c	= (x - R1) (x- R2)
	= (x -	m  / n	) (x -	y  / z	)
	= (nx - m) (zx - y)//