Question

if (x-2)^2/3=1/9 then find 'x'​

Answer 1

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$9,4=45$

The pattern is very apparent when you look at the difference of the numbers on the LHS.

$2,1 \to 2-1=1 \to 1x=9$

So by this method, multiply the difference by 9 to get the number on the RHS.

Let's see if this pattern holds up…

$4,2 \to 4-2=2 \to 2x=18$

$5,3 \to 5-3=2 \to 2x=18$

$6,3 \to 6-3=3 \to 3x=27$

So, evidently, the pattern holds up for all pieces of data.

Thus,

$9,4 \to 9-4=5 \to 5x=?$

$5(9)= ?$

$?=45$