QUADRATIC FUNCTIONS: Completing the Square

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First, we'll tackle the formula on the left. We're going to start by looking only at what's inside those brackets – the Ax + B. For now, ignore the whole square and c

Now, we're going to compare the terms Ax + B to the square formula, a^2 + 2ab + b^2.

You'll probably notice that Ax + B is two terms, while the square formula has three

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You'll probably notice that Ax + B is two terms, while the square formula has three. I'll explain that with the help of a sample problem.

Look at the quadratic equation

If we take only the first two terms and compare them to the first two terms of the square formula, we can assign values to the variables a and b, like so:

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If we take only the first two terms and compare them to the first two terms of the square formula, we can assign values to the variables a and b, like so:

If we take only the first two terms and compare them to the first two terms of the square formula, we can assign values to the variables a and b, like so:

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Take the square root of the x^2 term to find a.

Take the square root of the x^2 term to find a

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