-
Solve x4−1=3
Input :
solve(x^
4-1=3)
Output in real mode :
[sqrt(2),-(sqrt(2))]
Output in complex mode :
[sqrt(2),-(sqrt(2)),(i)*sqrt(2),-((i)*sqrt(2))]
- Solve exp(x)=2
Input :
solve(exp(x)=2)
Output in real mode :
[log(2)]
- Find x,y such that x+y=1,x−y=0
Input :
solve([x+y=1,x-y],[x,y])
Output :
[[1/2,1/2]]
- Find x,y such that x2+y=2,x+y2=2
Input :
solve([x^
2+y=2,x+y^
2=2],[x,y])
Output :
[[-2,-2],[1,1],[(-sqrt(5)+1)/2,(1+sqrt(5))/2],
[(sqrt(5)+1)/2,(1-sqrt(5))/2]]
- Find x,y,z such that x2−y2=0,x2−z2=0
Input :
solve([x^
2-y^
2=0,x^
2-z^
2=0],[x,y,z])
Output :
[[x,x,x],[x,-x,-x],[x,-x,x],[x,x,-x]]
- Solve cos(2*x)=1/2
Input :
solve(cos(2*x)=1/2)
Output :
[pi/6,(-pi)/6]
Output with All_trig_sol checked :
[(6*pi*n_0+pi)/6,(6*pi*n_0-pi)/6]
- Find the intersection of a straight line
(given by a list of equations) and a plane.
For example,
let D be the straight line of cartesian equations
[y−z=0,z−x=0] and let P the plane of equation x−1+y+z=0.
Find the intersection of D and P.
Input :
solve([[y-z=0,z-x=0],x-1+y+z=0],[x,y,z])
Output :
[[1/3,1/3,1/3]]