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18-05-2018
Mathematics

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Add to each side x2 – 8x = 9 to complete the square

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18-05-2018

For this case we have the following equation:
x2 - 8x = 9
By completing squares we have:
x2 - 8x + (-8/2) ^ 2 = 9 + (-8/2) ^ 2
Rewriting we have:
x2 - 8x + (-4) ^ 2 = 9 + (-4) ^ 2
x2 - 8x + 16 = 9 + 16
(x-4) ^ 2 = 25
Answer:
(x-4) ^ 2 = 25

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