Question

4 times a number is 12 less than the square of that number. Find the positive solution.

Answer 1

6

Explanation:

Have a good day :)

Answer 2

`x = 6`

Explanation:

Given

Let the number be x.

So, we have:

`4 * x` ----- 4 times a number

`= x^2 - 12` --- 12 less than its square

The equation becomes

`4x = x^2 - 12`

Equate to o

`x^2 - 4x - 12 = 0`

Split

`x^2 - 6x +2x - 12 = 0`

Factorize

`x(x - 6) +2(x - 6) = 0`

Factor out x - 6

`(x + 2)(x - 6) = 0`

Split

`x + 2 = 0\ or\ x - 6 = 0`

Solve for x

`x = -2\ or\ x = 6`

The positive value is 6