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How to solve this nice Math Olympiad Square Root Simplification problem
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[@thelifeclass]

Interesting 🎉

[@venusthomas]

The task is so typical
for 11 -> x=36 6*6
for 9 -> x=25 5*5
for 7 -> x=16 4*4
for 5 -> x=9 3*3
for 3 -> x=4 2*2
for 1 -> x=1 1*1
What about 13, 15, 17, ... with x ??? :)
I figured out the Enigma :)

[@CharlesChen-el4ot]

2 x - 11 + 2 ( x*(x-11))^1/2
= 121
x * ( x - 11) = (66 - x )^2
x^2 - 10x - 66 = 0

[@prollysine]

x-1=121-22Vx +x , 22*Vx=132 , Vx=6 , x=36 ,

[@user-bw4pw9fd8s]

Hvala❤

[@MasterTMathsClass]

You're welcome!

[@MIIIM-7]

3((x-2)^0,5)+(((x)^2)-11)=11

[@amalbanerjee8317]

X= 36, it will be the right answer.