Question

Can someone please help me answer this??

Answer 1

Answer:  x = (y-2)^2 + 5

In other words, y-2 goes in the first box and 5 goes in the second box.

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Work Shown:

y^2 - 4y - x + 9 = 0

y^2 - 4y + 9  = x

x = y^2 - 4y + 9

x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5

x = (y^2-4y+4) + 5

x = (y-2)^2 + 5  .... apply the perfect square factoring rule

So we'll have y-2 go in the first box and 5 goes in the second box

note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.

Answer 2

The top answer is correct might just want to tell you that