Question

When 3 less than the square of a number n is multiplied by 2,the result is 122. if n > 0, what is the value of n?

Answer 1

2(n^2-3)=122
n^2=64
n=+/- 8
When n>0 the value of n is 8

Answer 2

The value of n is:

n=8

Explanation:

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,

`2(n^2-3)=122`

on dividing both side by 2 we get:

`n^2-3=61\\\\\\n^2=61+3\\\\n^2=64\\\\i.e.\\\\n=8`

( Since n=-8 is not possible as n>0 )

Hence, the value is:

8