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zadania Sage Math

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Andżelika Wysocka 2019-01-31 00:35:19 +01:00
parent 3b653fab7e
commit 9d4ddcf40b
1 changed files with 42 additions and 0 deletions
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Sage Math- rozwiązania zadań/SageMathZadania.txt Normal file
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#zad1
#a
rownanie=x+2==3*x-5
solve(rownanie, x)
#b
rownanie2=x*x+3*x-1==0
solve(rownanie2, x)
#c
rownanie3=3^x*(x^2-4)==0
solve(rownanie3, x)
#d
rownanie4=(x+2)/(x-1)==3/(2*x-5)
solve(rownanie4, x)
#e
rownanie5=(2*x-1)*(x+2)==(x-1)^2
solve(rownanie5, x)
#zad2
#a
var('x,y')
solve([5*x+2*y==4, x-4*y==-2],x,y)
show(implicit_plot(5*x+2*y==4,(x,-2,2),(y,-2,2), color="red")\
+implicit_plot(x-4*y==-2,(x,-2,2),(y,-2,2),color="blue")\
+points([(6/11,7/11)], size=45, color='green',figsize=4))
a=implicit_plot(5*x+2*y==4,(x,-2,2),(y,-2,2), color="red")
b=implicit_plot(x-4*y==-2,(x,-2,2),(y,-2,2),color="blue")
c=points([(6/11,7/11)], size=45, color='green',figsize=4)
a+b+c
#b
var('x,y')
solve([x^2+2*x+y^2-4*x==20, 2*x-y==0],x,y)
show(implicit_plot(x^2+2*x+y^2-4*x==20,(x,-10,10),(y,-10,10), color="red")\
+implicit_plot(2*x-y==0,(x,-10,10),(y,-10,10),color="blue")\
+points([(-1/5*sqrt(101) + 1/5,-2/5*sqrt(101) + 2/5),(1/5*sqrt(101) + 1/5,2/5*sqrt(101) + 2/5)], size=45, color='green',figsize=4))
p=implicit_plot(x^2+2*x+y^2-4*x==20,(x,-10,10),(y,-10,10), color="red")
g=implicit_plot(2*x-y==0,(x,-10,10),(y,-10,10), color="blue")
i=points([(-1/5*sqrt(101) + 1/5,-2/5*sqrt(101) + 2/5),(1/5*sqrt(101) + 1/5,2/5*sqrt(101) + 2/5)], size=45, color='green',figsize=4)
p+g+i