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Sagot :

Answer:

( x - 5 )² - 14

Step-by-step explanation:

a² ± 2ab + b² = ( a ± b )²

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x² - 10x + 11 = ( x² - 2(5)(x) + 25 ) - 25 + 11 = ( x - 5 )² - 14

Answer:

Step-by-step explanation:

You want to complete the square

x^2 - 10x + 11

-10x/2 = -5

(-5)^2 = 25

x^2 - 10x + 25 + 11

You've added 25 to the expression. You must take 25 away so you don't change the expression's value.

x^2 - 10x + 25 + 11 - 25 Now make the first three terms into a square

(x - 5)^2 + 11 - 25           Combine

Answer: (x - 5)^2 - 14