
Solve x^{4}−1=3
Input :
solve(x^
41=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,xy],[x,y])
Output :
[[1/2,1/2]]
 Find x,y such that x^{2}+y=2,x+y^{2}=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,(1sqrt(5))/2]]
 Find x,y,z such that x^{2}−y^{2}=0,x^{2}−z^{2}=0
Input :
solve([x^
2y^
2=0,x^
2z^
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_0pi)/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([[yz=0,zx=0],x1+y+z=0],[x,y,z])
Output :
[[1/3,1/3,1/3]]