Question Find the equation of the hyperbola centered at the origin that satisfies the given conditions x-intercept

The hyperbola centered at the origin’s equation that complies with the requirements is x²/9 – y²/25 = 1. The hyperbola has a horizontal transverse axis because it has x-intercepts. The equation for a hyperbola with a horizontal transverse axis has the following standard form: (x – h)²/a² – (y – k)²/b² = 1. There is a center at (h,k). The vertices are separated by a distance of 2a. a and b have values of; 2a = x₂ – x₁ = 3 – (-3) = 3 + 3 = 6 for “a,” and a = 6/2 = 3 and b = 5. The hyperbola’s equation, with its center at the origin, that meets the requirements is; (x – h)²/a² – (y – k)²/b² = 1, or, (x – 0)²/3² – (y – 0)²/5² = 1, or, x²/9 – y²/25 = 1. As a result, the hyperbola’s equation, centered at its origin, that fulfills the requirements is x²/9 – y²/25 = 1. Learn more about hyperbola equations at https://brainly.com/question/15624362 #SPJ4 The provided question is incomplete. The complete question is: “Find the equation of the hyperbola centered at the origin that satisfies the given conditions: x-intercepts = +,-3 and asymptote at y=5/3x” Reply

hyperbolacentered at the origin’s equation that complies with the requirements is x²/9 – y²/25 = 1.hyperbolahas ahorizontal transverse axisbecause it has x-intercepts.equationfor ahyperbolawith a horizontal transverse axis has the following standard form:hyperbola’s equation, centered at its origin, that fulfills the requirements is x²/9 – y²/25 = 1.hyperbola equationsat