Calculus/Quadratic

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Expert: Alon Mandes - 8/14/2009


Question
Solve the equation, e^x + e^2x = e^3x. Thanks

Answer
e^x+e^2x=e^3x . Let's denote t=e^x , we get :
t+t²=t³ . Since e^x can never be zero, we can devide the equation by t. we get :
1+t=t² . The 2 solutions are : t=½(1±√5) . thus,
t1=½(1+√5)
t2=½(1-√5). Therefore :
x1=e^[½(1+√5)]
x2=e^[½(1-√5)]

Alon.  

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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