Question

the difference of the square of a number and 12 is equal to 4 times that number. find the positive solution

Answer 1

`x = 6 , -2`

Explanation:

Let the required number be x .

According to the Question ,

`\implies x^2 - 12 = 4x \\\\\implies x^2 -4x -12 = 0 \\\\\implies x^2 -6x + 2x -12 = 0 \\\\\implies x(x-6)+2(x-6) = 0 \\\\\implies (x-6)(x+2)=0\\\\\implies \boxed{\boxed{ x = 6 , -2}}`

Hence the number can be 6 or -2.