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

Answer:

          The value of n is:

                           n=8

Step-by-step 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

Answer 2

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