Find the Standard Form of the Equation of the Following $$5 x ^ { 2 } - 3 y ^ { 2 } = 15$$

question 116

Multiple Choice

Find the standard form of the equation of the following hyperbola.
$$5 x ^ { 2 } - 3 y ^ { 2 } = 15$$

• A) \(\frac { x ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• B) \(\frac { x ^ { 2 } } { 5 ^ { 2 } } - \frac { y ^ { 2 } } { 3 ^ { 2 } } = 1\)
• C) \(\frac { y ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } = 1\)
• D) \(\frac { y ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } - \frac { x ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• E) \(\frac { x ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { y ^ { 2 } } { ( \sqrt { 3 } ) ^ { 2 } } = 1\)

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