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MATH / The hyperbola ((x−3)²)/(5²)−((y+1)²)/(4²)=1has two asymptotes, one with positive slope and one with negative slope. Compute the x−intercept of the one with positive slope. (Enter y…

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problem

The hyperbola (x−3)252−(y+1)242=1\frac{(x-3)^2}{5^2} - \frac{(y+1)^2}{4^2} = 1has two asymptotes, one with positive slope and one with negative slope. Compute the x−x-intercept of the one with positive slope. (Enter your answer as an ordered pair.)
Plain-text mathematical notation (without MathML)
The hyperbola ((x−3)²)/(5²)−((y+1)²)/(4²)=1has two asymptotes, one with positive slope and one with negative slope. Compute the x−intercept of the one with positive slope. (Enter your answer as an ordered pair.)
Original LaTeX notation
The hyperbola \[\frac{(x-3)^2}{5^2} - \frac{(y+1)^2}{4^2} = 1\]has two asymptotes, one with positive slope and one with negative slope. Compute the $x-$intercept of the one with positive slope. (Enter your answer as an ordered pair.)

level

Level 4

type

Intermediate Algebra

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Source and history

task_id
4bfd88b1-6a2b-54b3-b3e1-650c30c5f5fd
task_key
intermediate~5falgebra--test--4bfd88b1-6a2b-54b3-b3e1-650c30c5f5fd
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import