SOLUTION: find the solution set (x-11)(x-11)=0

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Question 622406: find the solution set
(x-11)(x-11)=0

Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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You have (x-11)(x-11)=0. Notice that you are multiplying two factors together. In order for their product to be zero, one of the two factors must equal zero. For example 3*0=0 or 0*3=0. (This is called the Zero Product Property in math...catchy title, isn't it?)
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In your problem, both factors are the same, so x-11 must equal 0. This is only true when x=11 because 11-11=0, so the solution to this equation is x=11.
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Hope this helps! Please email if you would like me to explain any part of tis in more detail.
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Ms.Figgy
math.in.the.vortex@gmail.com