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What is the center of the hyperbola x2−y2−64=0x^2 - y^2 - 64 = 0?\newline(_,_)(\_,\_)

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Q. What is the center of the hyperbola x2−y2−64=0x^2 - y^2 - 64 = 0?\newline(_,_)(\_,\_)
  1. Move constant term: x2−y2−64=0x^2 - y^2 - 64 = 0\newlineMove the constant term to the right side.\newlinex2−y2=64x^2 - y^2 = 64
  2. Convert to standard form: x2−y2=64x^2 - y^2 = 64\newlineConvert the equation into standard form.\newlineDivide both sides of the equation by 6464.\newline(x2)/64−(y2)/64=64/64(x^2)/64 - (y^2)/64 = 64/64\newlinex2/64−y2/64=1x^2/64 - y^2/64 = 1
  3. Find center: x2/64−y2/64=1x^2/64 - y^2/64 = 1\newlineFind the center of the hyperbola.\newlineThe equation can be written as (x−0)2/64−(y−0)2/64=1(x - 0)^2/64 - (y - 0)^2/64 = 1.\newlineHere h=0h = 0, k=0k = 0.\newlineCenter of the hyperbola: (0,0)(0, 0)

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