Find the Domain (x^2)/169+(y^2)/25=1

Problem

(x2)/169+(y2)/25=1

Solution

1. Identify the type of equation. This is the standard form of a horizontal ellipse centered at the origin (0,0) which follows the form (x2)/(a2)+(y2)/(b2)=1

2. Determine the value of a2 In this equation, a2=169

3. Calculate the value of a by taking the square root. Since a represents the distance from the center to the vertices along the x-axis, a=√(,169)=13

4. Define the domain. For an ellipse centered at the origin, the domain consists of all xvalues between the vertices −a and a

5. Substitute the value of a into the interval. The xvalues range from −13 to 13

Final Answer

Domain:[−13,13]

Want more problems? Check here!