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.
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-> 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.
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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! .
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.
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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 = .