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Annette [7]
3 years ago
15

Write this equation in standard form 9x^2-4y^2-24y-72=0

Mathematics
1 answer:
Xelga [282]3 years ago
4 0
9x^2-4y^2-24y-72=0\\
\\
9x^2-4y^2-24y=72\\
\\
9x^2-(4y^2+24y+36)=72-36\\
\\
9x^2-4(y+3)^2=36\\
\\
\frac{9x^2}{36}-\frac{4(y+3)^2}{36}=\frac{36}{36}\\
\\
\boxed{\frac{x^2}{4}-\frac{(y+3)^2}{9}=1}
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