SOLUTION: Let x be defined as x= x^2 - x for all values of x. If a = a-2, what is the value of a? The answer is 3/2, but I do not understand how they got the answer. Please help!

Question 470694: Let x be defined as x= x^2 - x for all values of x. If a = a-2, what is the value of a?
The answer is 3/2, but I do not understand how they got the answer. Please help!
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I assume you are defining a function (use f(x)) because x is not equal to x^2 - x for all x, and a can never equal a-2. If f(a) = a-2, we simply solve for a by replacing f(a):

which is not equal to 3/2, or any other real number.
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