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Question
(x^2 - 5x + 5)^x^2+9x+20 = 1
I suppose you mean : (x²-5x+5)^(x²+9x+20)=1.
In this case , we perform Ln operator to both sides :
Ln { (x²-5x+5)^(x²+9x+20) } = Ln{1}
(x²-5x+5)*Ln{x²+9x+20} = 0
The solutions will be : A*LN(B)=0 gives us A=0 or B=1. Thus ,
x²-5x+5=0 or x²+9x+20=1
x=½(5±√5) or x=½(-9±√5)
So the solutions are : ½(5+√5) , ½(5-√5) , ½(-9+√5) , ½(-9-√5)
Alon.
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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".
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Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.
Education/Credentials
M.A in Mathematics & Bs.c in Electronics.
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