Question 8199
<font face = "courier new" size = 2>help me solve for y 
`<font size = 3><b>
` ` ` ` (x-1)<sup>2</sup> + y<sup>2</sup> = 1
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Subtract (x-1)<sup>2</sup> from both sides
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` ` ` ` `y<sup>2</sup> = 1 - (x-1)<sup>2</sup>

Write 1 as 1<sup>2</sup>
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` ` ` ` `y<sup>2</sup> = 1<sup>2</sup> - (x-1)<sup>2</sup>
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The right side will factor as the difference of two squares:
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` ` ` ` `y<sup>2</sup> = [1 - (x-1)][1 + (x-1)]
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Remove inner parentheses
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` ` ` ` `y<sup>2</sup> = [1 - x + 1)(1 + x - 1]
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Combine like terms
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` ` ` ` `y<sup>2</sup> = [2 - x][x]
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Rewrite with short factor first
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` ` ` ` `y<sup>2</sup> = x(2-x)
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Take square roots of both sides, remembering ± on the right
` ` ` ` ` ` ` ` ______
` ` ` ` ` y = ±<font face = "symbol">Ö</font>x(2-x)
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Edwin