Question

6 times a number is 16 less than the square of that number. Find the positive solution.

Answer 1

Answer:

x=8

Step-by-step explanation:

Let's say this mystery number is x.

6 times this x is 16 less than the square of x so we can write this as:

$6x = x^2 - 16$

We can then re-arrange this into a quadratic and simplify it so:

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

$(x-8)(x+2)$

x=8, x=-2

And since the question is asking for the positive solution,
x=8