Write the equation in standard form by filling in the square and indicate the conical section it represents. displaystyle{2}{x}^{2}+{2}{y}^{2}-{8}{x}-{8}{y}={0}

glasskerfu

glasskerfu

Answered question

2020-11-11

Write the equation in standard form by filling in the square and indicate the conical section it represents.
2x2+2y28x8y=0

Answer & Explanation

dessinemoie

dessinemoie

Skilled2020-11-12Added 90 answers

Step 1
2x2+2y28x8y=0
2[x24x]+2[y24y]=0
2[(x2)24]+2[(y2)24]=0
2(x2)2+2(y2)2=16
Step 2
(x2)2+(y2)2=8
(x2)2+(y2)2=(22)2
Answer:
This equation represents a circle centered at (2,2) and radius of 22
Jeffrey Jordon

Jeffrey Jordon

Expert2021-10-26Added 2605 answers

Answer is given below (on video)

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