Find the x -intercept(s) for $\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 81 } = 1$
A) $( 0,6 )$ , $( 0 , - 6 )$
B) $( 9,0 )$ , $( - 9,0 )$
C) $( 6,0 )$ , $( - 6,0 )$
D) $( 0,9 )$ , $( 0 , - 9 )$

Question

Quizplus · Accepted Answer

The x-intercepts occur when y=0. Substituting y=0 into the equation gives:$\frac { x ^ { 2 } } { 36 } - \frac { 0 ^ { 2 } } { 81 } = 1$$\frac { x ^ { 2 } } { 36 } = 1$$x ^ { 2 } = 36$$x = ±6$So the x-intercepts are $( 6,0 )$ and $( - 6,0 )$.

Find the X -Intercept(s) For x236−y281=1\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 81 } = 136x2​−81y2​=1

Find the X -Intercept(s) For $\frac { x ^ { 2 } } { 36 } - \frac { y ^ { 2 } } { 81 } = 1$