The value of n is:
n=8
Let n be a number.
Now we are given a statement that:
When 3 less than the square of a number n is multiplied by 2,the result is 122.
3 less than a square of a number n is: n²-3.
Now when this number is multiplied by 2 we get:
2(n²-3)
Now this expression is equal to 122.
Hence,
[tex]2(n^2-3)=122[/tex]
on dividing both side by 2 we get:
[tex]n^2-3=61\\\\\\n^2=61+3\\\\n^2=64\\\\i.e.\\\\n=8[/tex]
( Since n=-8 is not possible as n>0 )
Hence, the value is:
8
