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03-11-2022
Mathematics

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Rewrite the equation by completing the square.x^2 – 14x + 33 = 0

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HermilaX89896 HermilaX89896

03-11-2022

x^2 – 14x + 33 = 0

Complete the square

Remember that

14/2=7

so

(x^2-14x+7^2)-7^2+33=0

(x^2-14x+49)-49+33=0

Rewrite as perfecy squares

(x-7)^2-16=0

(x-7)^2=16

therefore

the answer is

(x-7)^2=16

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