Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
Let the number be x.
So, we have:
[tex]4 * x[/tex] ----- 4 times a number
[tex]= x^2 - 12[/tex] --- 12 less than its square
The equation becomes
[tex]4x = x^2 - 12[/tex]
Equate to o
[tex]x^2 - 4x - 12 = 0[/tex]
Split
[tex]x^2 - 6x +2x - 12 = 0[/tex]
Factorize
[tex]x(x - 6) +2(x - 6) = 0[/tex]
Factor out x - 6
[tex](x + 2)(x - 6) = 0[/tex]
Split
[tex]x + 2 = 0\ or\ x - 6 = 0[/tex]
Solve for x
[tex]x = -2\ or\ x = 6[/tex]
The positive value is 6
