SOLUTION: Let x spadesuit y = x^2/y for all $x$ and $y$ such that $y\neq 0$. Find all values of $a$ such that a spadesuit a + 1 = 9. Write your answer as a list separated by commas.

Question 1209325: Let x spadesuit y = x^2/y for all $x$ and $y$ such that $y\neq 0$. Find all values of $a$ such that a spadesuit a + 1 = 9. Write your answer as a list separated by commas.
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
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Let x spadesuit y = x^2/y for all x and y such that y =/= 0.
Find all values of "a" such that "a" spadesuit a + 1 = 9.
Write your answer as a list separated by commas.
~~~~~~~~~~~~~~~~~~~~

        As written in the post, this formulation is ambiguous.

        It depends on how to read this passage "a spadesuit a + 1 = 9".

        I will solve the problem reading it as "a spadesuit (a+1) = 9".

        Another possible reading is "(a spadesuit a) + 1 = 9".

        As the post is presented, it is clear that it is unprofessional writing.

Following the definition of the term "x spadesuit y", given in the first sentence,
I interpret the second sentence as an invitation to solve this equation

     = 9  in the domain  a =/= -1.


It reduces to 

    a^2 = 9(a+1),

    a^2 - 9a - 9 = 0,

     =  = .


ANSWER.  There are two solutions for "a".  

         They are   =   and   = .

Solved.

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