HP 33s Coordinate Transformations, 15–32, 2 g, 1 g, 6 ^g, Keys:, value, value, value, Example 3:, x2 + x – 6, Description:, (In RPN mode)

Example 3:
Find the roots of the following quadratic polynomial:
	x2 + x – 6 = 0
Keys:	Display:	Description:
(In RPN mode)

XP	@
	value
2 g	@
	value
1 g	@
	value
6 ^g	%/
	.)

g%/

)

Starts the polynomial root finder; prompts for order.

Stores 2 in F; prompts for B.Stores 1 in B; prompts for A.Stores –6 in A; calculates the first root.

Calculates the second root.

Coordinate TransformationsThis program provides two–dimensional coordinate translation and rotation.

The following formulas are used to convert a point P from the Cartesian coordinate pair (x, y) in the old system to the pair (u, v) in the new, translated, rotated system.

u= (x – m) cosθ + (y – n) sinθ v = (y – n) cos θ –(x– m) sinθThe inverse transformation is accomplished with the formulas below.x= u cosθ – v sinθ + m y = u sinθ + v cosθ + n

The HP 33s complex and polar–to–rectangular functions make these computations straightforward.

15–32Mathematics Programs