SOLUTION: Please help! 1.) Find all zeros(both real and complex) of the function f(x)=x^4+4x^2-5 2.) Will sells used 4-wheelers and bicycles. He currently has 46 of these machines

Algebra ->  Algebra  -> Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help! 1.) Find all zeros(both real and complex) of the function f(x)=x^4+4x^2-5 2.) Will sells used 4-wheelers and bicycles. He currently has 46 of these machines      Log On

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Question 64502: Please help!
1.) Find all zeros(both real and complex) of the function f(x)=x^4+4x^2-5


2.) Will sells used 4-wheelers and bicycles. He currently has 46 of these machines for sale. If there are 146 wheels on all of these machines, how many 4-wheelers and how many bicycles does Will have for sale?
Thank you!!!!
Answer by stanbon(57290) About Me  (Show Source):
You can put this solution on YOUR website!
Find all zeros(both real and complex) of the function f(x)=x^4+4x^2-5
=(x^2+5)(x^2-1)
=(x+isqrt5)(x-isqrt5)(x+1)(x-1)
Zeroes are 1,-1,isqrt5,-isqrt5
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2.) Will sells used 4-wheelers and bicycles. He currently has 46 of these machines for sale. If there are 146 wheels on all of these machines, how many 4-wheelers and how many bicycles does Will have for sale?
Let # of 4-wheelers be W and # of bicycles be B:
B+W=46
2B+4W=146
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B=46-W
2(46-W)+ 4W=146
92-2W+4W=146
2W=54
W=27 (# of 4-Wheelers)
)B=46-27=19 (# of bicycles)
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Cheers,
Stan H.