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This is for number 16 of exercise 79 .2 in the book introduction introductory algebra for college students.
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So for this problem, we're going to be solving a quadratic formula using the complete the square method.
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So our quadratic formula is x squared minus 2x equals 8.
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And to solve this using complete the square, our first step is to find b over 2 squared.
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And i'll continue writing this in red so you know where it's going.
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But in short, what we're doing is normally with a binomial, completing the square, you would just add this onto the end of the binomial.
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So x squared minus 2x plus b over 2 squared.
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But since this is an equation, not just a single binomial, what we do to one side will have to the other.
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So we need to make sure that we add this to both sides of our equation.
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So we'll start with finding what our b is, in this case our b is just going to be 2.
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So we can erase this and replace it with 2...