I never found this type of equations before. If someone could tell me how they are solved and hopefully even tell me what's the name of this type of equation so I can check it into google or something.
Cheers, people!
Cheers, people!
-
These are just exponential equations. For the first:
e^x - e^(-x) = 0.........rearrange
e^x = e^(-x)..............take ln of both sides (ln e^x = x)
x = -x...............only solution is x = 0
Second equation: - (1/e^x) + e^x is identical to the first equation; 1/e^x = e^(-x) only the order of the terms is reversed. Same solution.
e^x - e^(-x) = 0.........rearrange
e^x = e^(-x)..............take ln of both sides (ln e^x = x)
x = -x...............only solution is x = 0
Second equation: - (1/e^x) + e^x is identical to the first equation; 1/e^x = e^(-x) only the order of the terms is reversed. Same solution.
-
Search for 'wolfram alpha' in google and type the equation in there, it generates the X values including working.
-
1.)e^x-1/e^x=0
e^2x-1=0
(e^x-1)(e^x+1)=0
e^x=1
e^x=-1
lne1=x
x=0
e^2x-1=0
(e^x-1)(e^x+1)=0
e^x=1
e^x=-1
lne1=x
x=0