SOLUTION: A^4+2=11

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Question 1057476: A^4+2=11
Answer by ikleyn(52944) About Me  (Show Source):
You can put this solution on YOUR website!
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1.  If A is a real number and you are seeking for the solutions in real numbers then


    A^4+2=11  --->  A^4 = 11-2  --->  A^4 = 9  --->  A^2 = sqrt%289%29  --->  A^2 = 3  --->  A = +/- sqrt%283%29.  

    Two solutions.



2.  If A is a complex number and you are seeking for the solutions in complex numbers then


    A^4+2=11  --->  A^4 = 11-2  --->  A^4 = 9  --->  A^2 = +/- sqrt%289%29  --->  A^2 = +/- 3  --->  A = sqrt%283%29,  or A = -sqrt%283%29,  or A = sqrt%283%29%2Ai,  or A = -sqrt%283%29%2Ai.  

    Four solutions.