SOLUTION: What type of conic section is this equation: 4x^2 + 8y^2 = 64? a. circle b. ellipse c. hyperbola

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Question 1087195: What type of conic section is this equation: 4x^2 + 8y^2 = 64?
a. circle
b. ellipse
c. hyperbola

Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

+4x%5E2+%2B+8y%5E2+=+64
+4x%5E2%2F64+%2B+8y%5E2%2F64+=+64%2F64
+cross%284%29x%5E2%2Fcross%2864%2916+%2B+cross%288%29y%5E2%2Fcross%2864%298+=+1
+x%5E2%2F16+%2By%5E2%2F8+=+1
answer: ellipse

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

What type of conic section is this equation: 4x^2 + 8y^2 = 64?
a. circle
b. ellipse
c. hyperbola
Leading coefficients are DIFFERENT but signs are SAME, so it's: highlight_green%28matrix%281%2C2%2C+An%2C+ellipse%29%29