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Find the only value of $x$ that satisfies: $$\sqrt{7+\sqrt{4-\sqrt{3+x}}}=3$$

 May 4, 2021
 #1
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0

The value of x is 1.

 May 4, 2021
 #2
avatar+103 
+3

I think the value of x is -3 smiley

 May 4, 2021
 #3
avatar+2209 
+1

sqrt(7+sqrt(4-sqrt(3+x))) = 3

7+sqrt(4-sqrt(3+x)) = 9

sqrt(4-sqrt(3+x)) = 2

4-sqrt(3+x) = 4

-sqrt(3+x) = 0

3+x = 0

x = -3

 

=^._.^=

 May 4, 2021

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