SOLUTION: Hello. I was given these problems: x2(squared) + y = 16 x2(squared) + y2(squared) = 64 and told to determine whether or not this equation "defines y as a function of x." Would b

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Question 1022367: Hello. I was given these problems: x2(squared) + y = 16
x2(squared) + y2(squared) = 64
and told to determine whether or not this equation "defines y as a function of x." Would be very thankful for some help. Thanks for reading.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!


Neither of them is specifically written as y in terms of x; but solving for y in terms of x will show you very clearly, if not otherwise understood, if each is a function or not., A vertical parabola is a function. A circle is not a function. Understand why!
Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Hello. I was given these problems: x2(squared) + y = 16
x2(squared) + y2(squared) = 64
and told to determine whether or not this equation "defines y as a function of x." Would be very thankful for some help. Thanks for reading.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

 =       (1)
 =      (2)

Express x^2 =  from (1) and substitute it into (2). You will get this equation for single unknown x:

 = 64.

Simplify step by step:

 = .

 = ,

 = .

Please complete it yourself by applying the quadratic formula.


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