Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Quad
StarInfo/Allen/!Ignotum/Formulae/Formulae/Quad
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
| Tape/disk: | Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars |
| Filename: | StarInfo/Allen/!Ignotum/Formulae/Formulae/Quad |
| Read OK: | ✔ |
| File size: | 040C bytes |
| Load address: | 0000 |
| Exec address: | 0000 |
File contents
# Maths > Quadratics # New entries should take the form of: # Formula # Note 1 # Note 2 # Note 3 # Note 4 # Note 5 # Formula # Note 1 # And so on... # To fit snugly into the window, each line should be no longer # than 42 characters. # There is a limit of 25 formulas per topic. # Any notes should be made here, at the beginning and should # be preceeded by a hash (#). x=(-b�(b�-4ac)^�)/2a This is called the quadratic formula where ax�+bx+c=0. It can give two answers (because of the �). If the curve y=ax�+bx+c was plotted then it would cross the x-axis at these values of x. y=(4ac-b�)/4a Where: y=y co-ordinate of the peak of the graph (highest/lowest point on the curve) a, b and c come from the general quadratic, y=ax�+bx+c x=-b/2a An equation for the line of symmetry of the curve is formed where a, b and c are from the general quadratic, y=ax�+bx+c.
00000000 23 20 4d 61 74 68 73 20 3e 20 51 75 61 64 72 61 |# Maths > Quadra| 00000010 74 69 63 73 0a 0a 23 20 4e 65 77 20 65 6e 74 72 |tics..# New entr| 00000020 69 65 73 20 73 68 6f 75 6c 64 20 74 61 6b 65 20 |ies should take | 00000030 74 68 65 20 66 6f 72 6d 20 6f 66 3a 0a 23 20 20 |the form of:.# | 00000040 20 20 20 46 6f 72 6d 75 6c 61 0a 23 20 20 20 20 | Formula.# | 00000050 20 4e 6f 74 65 20 31 0a 23 20 20 20 20 20 4e 6f | Note 1.# No| 00000060 74 65 20 32 0a 23 20 20 20 20 20 4e 6f 74 65 20 |te 2.# Note | 00000070 33 0a 23 20 20 20 20 20 4e 6f 74 65 20 34 0a 23 |3.# Note 4.#| 00000080 20 20 20 20 20 4e 6f 74 65 20 35 0a 23 20 20 20 | Note 5.# | 00000090 20 20 46 6f 72 6d 75 6c 61 0a 23 20 20 20 20 20 | Formula.# | 000000a0 4e 6f 74 65 20 31 0a 23 20 20 20 20 20 41 6e 64 |Note 1.# And| 000000b0 20 73 6f 20 6f 6e 2e 2e 2e 0a 23 20 54 6f 20 66 | so on....# To f| 000000c0 69 74 20 73 6e 75 67 6c 79 20 69 6e 74 6f 20 74 |it snugly into t| 000000d0 68 65 20 77 69 6e 64 6f 77 2c 20 65 61 63 68 20 |he window, each | 000000e0 6c 69 6e 65 20 73 68 6f 75 6c 64 20 62 65 20 6e |line should be n| 000000f0 6f 20 6c 6f 6e 67 65 72 0a 23 20 74 68 61 6e 20 |o longer.# than | 00000100 34 32 20 63 68 61 72 61 63 74 65 72 73 2e 0a 23 |42 characters..#| 00000110 20 54 68 65 72 65 20 69 73 20 61 20 6c 69 6d 69 | There is a limi| 00000120 74 20 6f 66 20 32 35 20 66 6f 72 6d 75 6c 61 73 |t of 25 formulas| 00000130 20 70 65 72 20 74 6f 70 69 63 2e 0a 0a 23 20 41 | per topic...# A| 00000140 6e 79 20 6e 6f 74 65 73 20 73 68 6f 75 6c 64 20 |ny notes should | 00000150 62 65 20 6d 61 64 65 20 68 65 72 65 2c 20 61 74 |be made here, at| 00000160 20 74 68 65 20 62 65 67 69 6e 6e 69 6e 67 20 61 | the beginning a| 00000170 6e 64 20 73 68 6f 75 6c 64 0a 23 20 62 65 20 70 |nd should.# be p| 00000180 72 65 63 65 65 64 65 64 20 62 79 20 61 20 68 61 |receeded by a ha| 00000190 73 68 20 28 23 29 2e 0a 0a 78 3d 28 2d 62 b1 28 |sh (#)...x=(-b.(| 000001a0 62 b2 2d 34 61 63 29 5e bd 29 2f 32 61 0a 54 68 |b.-4ac)^.)/2a.Th| 000001b0 69 73 20 69 73 20 63 61 6c 6c 65 64 20 74 68 65 |is is called the| 000001c0 20 71 75 61 64 72 61 74 69 63 20 66 6f 72 6d 75 | quadratic formu| 000001d0 6c 61 20 77 68 65 72 65 0a 61 78 b2 2b 62 78 2b |la where.ax.+bx+| 000001e0 63 3d 30 2e 20 49 74 20 63 61 6e 20 67 69 76 65 |c=0. It can give| 000001f0 20 74 77 6f 20 61 6e 73 77 65 72 73 0a 28 62 65 | two answers.(be| 00000200 63 61 75 73 65 20 6f 66 20 74 68 65 20 b1 29 2e |cause of the .).| 00000210 20 49 66 20 74 68 65 20 63 75 72 76 65 20 0a 79 | If the curve .y| 00000220 3d 61 78 b2 2b 62 78 2b 63 20 77 61 73 20 70 6c |=ax.+bx+c was pl| 00000230 6f 74 74 65 64 20 74 68 65 6e 20 69 74 20 77 6f |otted then it wo| 00000240 75 6c 64 20 63 72 6f 73 73 0a 74 68 65 20 78 2d |uld cross.the x-| 00000250 61 78 69 73 20 61 74 20 74 68 65 73 65 20 76 61 |axis at these va| 00000260 6c 75 65 73 20 6f 66 20 78 2e 0a 79 3d 28 34 61 |lues of x..y=(4a| 00000270 63 2d 62 b2 29 2f 34 61 0a 57 68 65 72 65 3a 0a |c-b.)/4a.Where:.| 00000280 79 3d 79 20 63 6f 2d 6f 72 64 69 6e 61 74 65 20 |y=y co-ordinate | 00000290 6f 66 20 74 68 65 20 70 65 61 6b 20 6f 66 20 74 |of the peak of t| 000002a0 68 65 20 67 72 61 70 68 0a 28 68 69 67 68 65 73 |he graph.(highes| 000002b0 74 2f 6c 6f 77 65 73 74 20 70 6f 69 6e 74 20 6f |t/lowest point o| 000002c0 6e 20 74 68 65 20 63 75 72 76 65 29 0a 61 2c 20 |n the curve).a, | 000002d0 62 20 61 6e 64 20 63 20 63 6f 6d 65 20 66 72 6f |b and c come fro| 000002e0 6d 20 74 68 65 20 67 65 6e 65 72 61 6c 20 0a 71 |m the general .q| 000002f0 75 61 64 72 61 74 69 63 2c 20 79 3d 61 78 b2 2b |uadratic, y=ax.+| 00000300 62 78 2b 63 0a 78 3d 2d 62 2f 32 61 0a 41 6e 20 |bx+c.x=-b/2a.An | 00000310 65 71 75 61 74 69 6f 6e 20 66 6f 72 20 74 68 65 |equation for the| 00000320 20 6c 69 6e 65 20 6f 66 20 73 79 6d 6d 65 74 72 | line of symmetr| 00000330 79 20 6f 66 0a 74 68 65 20 63 75 72 76 65 20 69 |y of.the curve i| 00000340 73 20 66 6f 72 6d 65 64 20 77 68 65 72 65 20 61 |s formed where a| 00000350 2c 20 62 20 61 6e 64 20 63 20 61 72 65 0a 66 72 |, b and c are.fr| 00000360 6f 6d 20 74 68 65 20 67 65 6e 65 72 61 6c 20 71 |om the general q| 00000370 75 61 64 72 61 74 69 63 2c 20 79 3d 61 78 b2 2b |uadratic, y=ax.+| 00000380 62 78 2b 63 2e 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |bx+c............| 00000390 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |................| * 00000400 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a 0a |............| 0000040c
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