For Exercise, an equation of a degenerate conic section is given. Complete the square and describe the graph of each equation.displaystyle{9}{x}{2}+{4}{y}{2}-{24}{y}+{36}={0}

Bergen 2020-12-28 Answered

For Exercise, an equation of a degenerate conic section is given. Complete the square and describe the graph of each equation.
9x2+4y224y+36=0

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Expert Answer

SchulzD
Answered 2020-12-29 Author has 83 answers
Step 1
The given equation is 9x2+4y224y+36=0.
Use completing the square method and obtain the standard form
Step 2
4y224y=9x236
4(y26y)=9x236
4(y26y+3232)=9x236
4(y+3)236=9x236
4(y+3)2=9x2
(y+3)2=(32x)2
y+3=32x
2y+6=3x
4x+2y+6=0
Step 3
Draw the graph of 4x+2y+6=0
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