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Rewrite the equation by completing the square. x^2−4x+3=0

User Llimllib
by
4.3k points

2 Answers

4 votes

Answer:

x=1 or x=3

Explanation:

Hello, please consider the following.


x^2-4x+3=0\\\\\text{Step 1 - complete the square}\\\\x^2-4x+3=x^2-2*2*x+3=(x-2)^2-4+3=(x-2)^2-1=0\\\\\text{Step 2 - move the constant to the right side, meaning adding 1 here.}\\\\(x-2)^2=1\\\\\text{Step 3 - take the root}\\\\x-2=\pm1\\\\x=2-1=1 \ \ or \ \ x=2+1=3

Thank you

User Super Jade
by
4.5k points
6 votes

answers are -2,1

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User Nimbous
by
4.6k points