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

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Answer: (x+12)^2=177

Explanation:

User Vishal Patel
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7 votes

Answer:


(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.

User Geekender
by
8.2k points

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