Write x2 - 8x + 13 = 0 in the form (x - a)2 = b, where a and b are integers.

Mathematics

1 answer:

Mariana [72]3 years ago

6 0

Answer:

A. (x - 4)² = 3

Step-by-step explanation:

You need to change the equation so that you can make a square. To get a square, you need to analyze the terms.

x² has a a coefficient of one, so you don't have to worry about that.

13 is going to be changed so that it can be a square.

8x is what you should be looking at. For a square, the middle term is the number multiplied by 2. This means that the square was (x - 4)².

A square, when expanded, has the square of the number as the last term. This means that your last term should be 16. You need to add 3 to both sides of the equation to make this true.

x² - 8x + 13 = 0

x² - 8x + 13 + 3 = 0 + 3

x² - 8x + 16 = 3

(x - 4)² = 3

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