Q. Write the equation in standard form for the hyperbola x2−y2=64.______
Identify equation and goal: Identify the given equation and the goal to write it in standard form.Given equation: x2−y2=64Goal: Write in standard form for a hyperbola.
Recognize standard form: Recognize the standard form of a hyperbola.The standard form of a hyperbola with a horizontal transverse axis is (a2x2)−(b2y2)=1, where a and b are real numbers.
Divide equation by 64: Divide both sides of the equation by 64 to get the equation in standard form.(64x2)−(64y2)=6464Simplify the right side of the equation to get 1.(64x2)−(64y2)=1
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