SOLUTION: `Identify each equation carefully. Choose the correct answer. SHOW YOUR SOLUTION.Thank you 1.x^2+y^2-2x+8y+7=0 A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA ANSWER: SOLUTIO

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: `Identify each equation carefully. Choose the correct answer. SHOW YOUR SOLUTION.Thank you 1.x^2+y^2-2x+8y+7=0 A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA ANSWER: SOLUTIO      Log On


   

Question 1191097: `Identify each equation carefully. Choose the correct answer.
SHOW YOUR SOLUTION.Thank you
1.x^2+y^2-2x+8y+7=0
A.CIRCLE B.ELLIPSE C. HYPERBOLA D.PARABOLA
ANSWER:
SOLUTION:
Found 2 solutions by MathLover1, greenestamps:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!


x%5E2%2By%5E2-2x%2B8y%2B7=0
x%5E2-2x%2By%5E2%2B8y=-7
%28x%5E2-2x%29%2B%28y%5E2%2B8y%29=-7.........complete squares
%28x%5E2-2x%2Bb%5E2%29-b%5E2%2B%28y%5E2%2B8y%2Bb%5E2%29-b%5E2=-7
%28x%5E2-2x%2B1%5E2%29-1%5E2%2B%28y%5E2%2B8y%2B4%5E2%29-4%5E2=-7
%28x-1%29%5E2-1%2B%28y%2B4%29%5E2-16=-7
%28x-1%29%5E2%2B%28y%2B4%29%5E2-17=-7
%28x-1%29%5E2%2B%28y%2B4%29%5E2=-7%2B17
%28x-1%29%5E2%2B%28y%2B4%29%5E2=10-> answer: circle





Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The equation has both x^2 and y^2 terms with the same coefficient, so it is the equation of a circle.

ANSWER: A. CIRCLE