# SOLUTION: A hyperbola has vertices (4,0) and (-4,0).Its foci are located at (&#8730;(20),0) and (-&#8730;(20),0).Find the equation of the hyperbola.

Algebra ->  -> SOLUTION: A hyperbola has vertices (4,0) and (-4,0).Its foci are located at (&#8730;(20),0) and (-&#8730;(20),0).Find the equation of the hyperbola.      Log On

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 Question 391748: A hyperbola has vertices (4,0) and (-4,0).Its foci are located at (√(20),0) and (-√(20),0).Find the equation of the hyperbola.Answer by ewatrrr(11176)   (Show Source): You can put this solution on YOUR website! ``` Hi, hyperbola with vertices (4,0) and (-4,0) Opens right and left along the x-axis with center at Pt(0,0) Standard Form of an Equation of an Hyperbola opening right and left is: where Pt(h,k) is a center with vertices 'a' units right and left of center. x^2/16 - y^2 /b^2 = 1 foci at (-c,0) and (c,0) where c^2 = a^2 + b^2 foci at (sqrt(20), 0) and (sqrt(20), 0) sqrt(20)^2 = 16 + b^2 20 - 16 = b^2 b^2 = 4 b = ± 2 x^2/16 - y^2 /4 = 1 ```