nowaczyk-nidn-2018z/2019-01-30-101148.sagews
2019-01-30 11:16:07 +01:00

91 lines
3.2 KiB
Python

0b21512f-449f-4bfa-8f19-cf37775c11c7
#Zad.1
rownanie = x+2== 3*x -5
solve(rownanie,x)
5d92e14e-2815-48d8-bb3a-c912931a8147{"stdout":"[x == (7/2)]\n"}{"done":true}
f6f55521-4f15-482a-b86f-b6ee9633785bs
#Zad.2
rownanie= x^2 + 3*x - 1== 0
solve(rownanie,x)
2fbdd029-3790-4ab8-ab13-5a99f0038965{"stdout":"[x == -1/2*sqrt(13) - 3/2, x == 1/2*sqrt(13) - 3/2]"}{"stdout":"\n"}{"done":true}
e988a1b2-b160-4e28-8f9c-48019b98f535s
#zad.3
rownanie= 3^x*(x^2 -4)==0
solve(rownanie,x)
89c3c5e1-b37f-42da-819c-54a32b3367f8{"stdout":"[x == -2, x == 2]\n"}{"done":true}
42db8df9-a569-48b2-a9ff-2c8e66a86566s
var('x,y')
solve([5*x + 2*y == 4, x - 4*y== -2], x,y)
6baf20fe-7d0f-4a03-bae8-c9c42157437d{"stdout":"(x, y)\n"}{"stdout":"[[x == (6/11), y == (7/11)]]\n"}{"done":true}
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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-547637aa0f17{"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}
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add1fe35-8be2-4be7-a8ec-d8ec022c9920{"done":true}
e1d81e76-18ae-4c0b-94f8-2b2e08c06390s
var('x,y')
solve([x^2 + 2*x + y^2 - 4*x== 20, 2*x - y ==0], x, y)
74e0206e-e179-4f3c-9e14-426158bdfb85{"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}
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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-7337cac62048{"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-fafc1f470260s
7b57c0e4-e233-4c2c-b2f6-06db72eb8c42{"done":true}