Question

if the square of a positive number is decreased by the number the result is 12 find the length of the square

Answer 1

4

Explanation:

The square of 4 = 4²

4² = 4 * 4 = 16

16 - 4 = 12

4 is your answer.

Answer 2

length of the square is 4

Explanation:

Step:-1

Let 'k' be a positive integer

Given data the square of a positive integer is decreased by the number the result is 12

square of a positive integer is k^2 and decrease by k and the result is 12

That is
`k^(2) -k =12`

`k^(2) -k -12 =0`........(1)

Step :2

find the factors of equation (1)

`k^(2) -4 k+3 k -12=0`

`k(k-4)+3(k-4)=0`

(k-4)(k+3) = 0

`k=4 and k=-3`

here we can not take negative integer

we can choose k=4 only

so length of the square l is =4

verification:-

substitute k = 4 in equation (1)

`4^(2)-4 = 12`

12 =12

Final answer :-

The length of square is l = 4