Final Answer
$y=1+\sqrt{9-\left(x-1\right)^2},\:y=1-\sqrt{9-\left(x-1\right)^2}$
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Step-by-step Solution
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1
Group the terms of the equation
$y^2-2y=-x^2+2x+7$
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$y^2-2y=-x^2+2x+7$
Learn how to solve problems step by step online. Solve the quadratic equation x^2+y^2-2x-2y+-7=0. Group the terms of the equation. Factor the polynomial y^2-2y by it's greatest common factor (GCF): y. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2.
Final Answer
$y=1+\sqrt{9-\left(x-1\right)^2},\:y=1-\sqrt{9-\left(x-1\right)^2}$