These are built in and cost 0 bytes. Know them before you spend memory on a program.
FMLA 01: quadratic roots
The real roots of ax² + bx + c = 0. For Δ, the non-real case or the vertex, use the quadratic program.
FMLA
0
1
2
EXE
(−)
3
EXE
(−)
5
EXE
2x² − 3x − 5 = 0: a = 2, b = −3, c = −5. x1 = 2.5. Shows: x1= 2.5
▼▼ shows x2 = −1. Shows: x2= -1.
FMLA 02: cosine rule
The third side from two sides and the angle between them. For angles from three sides, use the trig menu.
ACFMLA025EXE8EXE60EXESides 5 and 8 with 60° between them: the third side is 7. Shows: a= 7.
FMLA 03: Heron's formula
The area of a triangle from its three sides.
ACFMLA035EXE6EXE7EXESides 5, 6 and 7: area 14.69693846 (that is 6√6). Shows: S= 14.69693846
SD mode: mean and standard deviation
MODE 4, then each value and M+ (DT). S-VAR (SHIFT 2) gives x̄ (1) and σx (2); DSE uses σx. A value with a frequency is value SHIFT , frequency DT. Changing mode clears the data.
ACMODE44M+7M+7M+10M+12M+The data 4, 7, 7, 10, 12: Line = 5 after the fifth. Shows: 5.
SHIFTS-VAR21
SHIFTS-VAR22
REG Lin: the line through two points
MODE 5 1, then each point as x , y DT. S-VAR 1 ▶ ▶ gives a (1) and b (2) of y = a + bx.
MODE511,3M+4,9M+The points (1, 3) and (4, 9). Shows: 2.
SHIFTS-VAR21
SHIFTS-VAR21
Pol: distance and direction
Pol(Δx, Δy) gives the distance between two points; Y then holds the angle the line makes with the positive x-axis.