Question

The difference of the square of a number and 16 is equal to 6 times that number

Answer 1

`x=-2 or x=8`

Explanation:

Let the number be 'x'

Given:

`x^2-16=6x`

Solving the quadratic equation:

`x^2-6x-16=0`

`x^2+2x-8x-16=0\\`

`x^2+2x-8x-16=0\\x(x+2)-8(x+2)=0\\`

`x(x+2)-8(x+2)=0\\\\(x+2)(x-8)=0\\`

`(x+2)=0, (x-8)=0`

`x=-2,x=8`

The value of 'x' can be
`x=-2 or x=8`