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LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.1Is there anything more to this question?

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.1Ah ok. Sometimes it's easier to work with completing a square by first bringing the constant term to the other side. Start with y + 3 = x^2  2x and we can go from there.

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.1We added 3 to both sides, so the left side becomes y + 3. This step is not necessary, but it makes completing the square clearer.

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.1You should subtract 2/2 on the right

Viktoria17
 one year ago
Best ResponseYou've already chosen the best response.0I dont udnerstand...

LogicalApple
 one year ago
Best ResponseYou've already chosen the best response.1We started with this equation: \[y = x^{2}  2x  3\] Then, adding 3 to both sides (this is an optional step): \[y + 3 = x^{2}  2x\] Take the coefficient of the x term, divide it by 2, then square it. That would be (2/2)^2 = 1. So we add 1 to both sides. \[y + 3 + 1 = x^{2}  2x + 1\] \[y + 4 = x^{2}  2x + 1\] Notice how the right side factors into a square now: \[y + 4 = (x  1)^{2}\] Now we can subtract 4 from both sides to get a final solution: \[y = (x  1)^{2}  4\]
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