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# operations

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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
+2122
+1

Not sure how the first part is relevant.

7 * g = 19

g = 19/7

=^._.^=

May 28, 2021
#2
+420
+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