Question

What equation results from completing the square and then factoring? x^2 + 24x = 33

Answer 1

Answer: (x+12)^2=177

Explanation:

Answer 2

`(x+12)^2=177`

Explanation:

We have been given an equation:
`x^2+24x=33`.

To complete the square we change the left hand side of the equation to a perfect square trinomial. For this we add
`((b)/(2))^2` to both sides of equation, where b is the coefficient of x.

We can see that coefficient of x for our given equation is 24. So we will add
`((24)/(2))^2=12^2=144` to both sides of our equation.

`x^2+24x+144=33+144`

`x^2+24x+144=177`

Let us factor left side of our equation as the square of binomial.

`(x+12)^2=177`

Therefore, our resulting equation will be
`(x+12)^2=177`.