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sage math

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Maria Nowaczyk 2019-01-30 11:16:07 +01:00
parent 506520ab5b
commit 8d35070c9a
1 changed files with 90 additions and 0 deletions
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︠0b21512f-449f-4bfa-8f19-cf37775c11c7︠
#Zad.1
rownanie = x+2== 3*x -5
solve(rownanie,x)
︡5d92e14e-2815-48d8-bb3a-c912931a8147︡{"stdout":"[x == (7/2)]\n"}︡{"done":true}
︠f6f55521-4f15-482a-b86f-b6ee9633785bs︠
#Zad.2
rownanie= x^2 + 3*x - 1== 0
solve(rownanie,x)
︡2fbdd029-3790-4ab8-ab13-5a99f0038965︡{"stdout":"[x == -1/2*sqrt(13) - 3/2, x == 1/2*sqrt(13) - 3/2]"}︡{"stdout":"\n"}︡{"done":true}
︠e988a1b2-b160-4e28-8f9c-48019b98f535s︠
#zad.3
rownanie= 3^x*(x^2 -4)==0
solve(rownanie,x)
︡89c3c5e1-b37f-42da-819c-54a32b3367f8︡{"stdout":"[x == -2, x == 2]\n"}︡{"done":true}
︠42db8df9-a569-48b2-a9ff-2c8e66a86566s︠
var('x,y')
solve([5*x + 2*y == 4, x - 4*y== -2], x,y)
︡6baf20fe-7d0f-4a03-bae8-c9c42157437d︡{"stdout":"(x, y)\n"}︡{"stdout":"[[x == (6/11), y == (7/11)]]\n"}︡{"done":true}
︠6c47a0f5-0d71-425b-a802-1c4322e4bb44︠
︡c184d17c-323e-44eb-ba6a-d875d93948ac︡
︠b1501f3f-48e4-4ece-9f25-637bc23e5027︠
︡8126f8ef-c597-4660-a16d-5f6db66385b3︡
︠0a06f984-fb6a-421f-954d-05c441e27910︠
︡07691262-55c6-4ee3-8aae-0bf8e11a5ba9︡
︠dbca3f6e-eaf1-4e59-8ff9-5b988c6d9093︠
︡f3e78844-235d-405d-9c74-dfad5074f50b︡
︠878a12e5-526a-489a-a1fe-35ce53ff7aed︠
︡7d225bec-1af5-480e-827b-85fac66c1003︡
︠cf707da2-1d26-453c-a845-bf664f64520d︠
︡ab072e22-1644-4268-a649-04c12f1f0813︡
︠8a747b5e-89f3-4557-81a7-a7777e676413s︠
P= implicit_plot((5*x+2*y==4), (x,-2,2), (y,-2,2), color="red")
G= implicit_plot((x-4*y==-2), (x,-2,2), (y,-2,2), color="blue")
PG= points(([(6/11,7/11)]), size=15, color='green', figsize=4)
PG +P+G
︡7bf295a3-e15e-4fb4-be6c-547637aa0f17︡{"file":{"filename":"/home/user/.sage/temp/project-2bf7d871-d296-4bb7-ac3c-80e0ceafd3ef/119/tmp_uav0_W.svg","show":true,"text":null,"uuid":"67de6591-8ac9-487f-98dd-1f12d0fa9a24"},"once":false}︡{"done":true}
︠1143c187-539b-404e-a481-4d378563b962s︠
︡add1fe35-8be2-4be7-a8ec-d8ec022c9920︡{"done":true}
︠e1d81e76-18ae-4c0b-94f8-2b2e08c06390s︠
var('x,y')
solve([x^2 + 2*x + y^2 - 4*x== 20, 2*x - y ==0], x, y)
︡74e0206e-e179-4f3c-9e14-426158bdfb85︡{"stdout":"(x, y)\n"}︡{"stdout":"[[x == -1/5*sqrt(101) + 1/5, y == -2/5*sqrt(101) + 2/5], [x == 1/5*sqrt(101) + 1/5, y == 2/5*sqrt(101) + 2/5]]\n"}︡{"done":true}
︠029ae22d-6e11-41b8-9e9b-dfe8f5cbf53e︠
︡5d45b032-8a78-4594-b4ed-ba04cd51a32c︡
︠5c429b12-7d84-4a9c-99aa-4baeeacdf55cs︠
P= implicit_plot((x^2 + 2*x + y^2 - 4*x== 20), (x,-8,8), (y,-8,8), color="red")
G= implicit_plot((2*x - y ==0), (x,-8,8), (y,-8,8), color="blue")
S= points(([(-1/5*sqrt(101) + 1/5,-2/5*sqrt(101) + 2/5)]), size=15, color='green', figsize=4)
PG= points(([(1/5*sqrt(101) + 1/5,2/5*sqrt(101) + 2/5)]), size=15, color='green', figsize=4)
PG+P+G
P+G+S
︡7375edd5-eb8e-49fd-98ed-7337cac62048︡{"file":{"filename":"/home/user/.sage/temp/project-2bf7d871-d296-4bb7-ac3c-80e0ceafd3ef/119/tmp_KrSx1k.svg","show":true,"text":null,"uuid":"ed66ef2c-c1f0-4b02-9968-8fed2e406f2a"},"once":false}︡{"file":{"filename":"/home/user/.sage/temp/project-2bf7d871-d296-4bb7-ac3c-80e0ceafd3ef/119/tmp_QdWcsR.svg","show":true,"text":null,"uuid":"7c06f140-8e8e-4044-9024-8da01502657e"},"once":false}︡{"done":true}
︠6e236cf7-56d3-4cff-b50d-fafc1f470260s︠
︡7b57c0e4-e233-4c2c-b2f6-06db72eb8c42︡{"done":true}