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Solve by completing the square 1) x² + 16x + 24 = 0. could y'all do the step to step I just need and example



User Pluto
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1 Answer

3 votes

Answer:

(x+8)^2=40

Explanation:

x^2+16x+24=0.

Well, to solve for this, you do:

1. (16/2)^2 to find what number should be in place of 24.

That, by the way, is 64.

2. There's no 64! We have to add 64-24 on both sides, which makes the equation

x^2+16x+64=40.

3. Since we know that (16/2)=8, using the completing the square formula, you know that it's going to be a variation of (x+8)^2 or (x-8)^2.

As we are adding for the middle term, it must be (x+8)^2.

4. Answer: (x+8)^2=40.

Sorry if this is too late :)

User Kehnar
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7.8k points