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Let a * b = a + sqrt(b + sqrt(b + sqrt(b + ...))).  If 7 * g = 19, find the value of g.

 May 28, 2021
 #1
avatar+2246 
+1

Not sure how the first part is relevant. 

7 * g = 19

g = 19/7

 

=^._.^=

 May 28, 2021
 #2
avatar+443 
+1

I think the first part is meant to define the operation *, so it would be:

\(7+\sqrt{g+\sqrt{g+\sqrt{g+...}}} = 19\\ \sqrt{g+\sqrt{g+\sqrt{g+...}}}=12\\ \sqrt{g+12}=12\\ g+12=144\\ g=132\)

textot  May 28, 2021

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