<span>Simplifying
15 + 5x = 0
Solving
15 + 5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 5x = 0 + -15
Combine like terms: 15 + -15 = 0
0 + 5x = 0 + -15
5x = 0 + -15
Combine like terms: 0 + -15 = -15
5x = -15
Divide each side by '5'.
x = -3
Simplifying
x = -3</span>
Given that the hyperbola has a center at (0,0), and its vertices and foci are on y-axis. This, the equation of the hyperbola is of the form
x²/a²-y²/b²=-1 (a>0, b>0)
In the equation, vertices are (0, +/-b) .
Thus,
b=60
Foci (0,+/-√(a²+b²))
thus
√(a²+60²)=65
hence solving for a²
a²=65²-60²
a²=625
a²=25²
hence the equation is:
x²/25²-y²/60²=-1
Answer:
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Answer:
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Step-by-step explanation:
