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21-11-2021
Mathematics

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Show that x^2-8x+20 can be written in the form (x-a)^2+a where a is an integer

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Eddie1Wan Eddie1Wan

21-11-2021

Step-by-step explanation:

Let's complete the square

x²-8x=-20

x²-8x+(-4)²=-20+(-4)²

x²+(-4)²=-20+16

(x-4)²=-4

(x-4)²+4

where a is an integer as required

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