Question 688987
{{{4x^2-y^2=4}}}.........1
{{{4x^2+y^2=4}}}.........2
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{{{4x^2-y^2=4}}}.........1.....solve for {{{y}}}

{{{y^2=4x^2-4}}}.....plug in 2


{{{4x^2+(4x^2-4)=4}}}.........2....solve for {{{x}}}

{{{4x^2+4x^2-4=4}}}.

{{{8x^2=4+4}}}

{{{8x^2=8}}}

{{{x^2=8/8}}}

{{{x^2=1}}}

{{{x=sqrt(1)}}}

{{{x=1}}}  or {{{x=-1}}}


find {{{y}}}

{{{y^2=4x^2-4}}}...............plug in {{{x=1}}}

{{{y^2=4*1^2-4}}}

{{{y^2=4-4}}}

{{{y^2=0}}}

{{{y=0}}}


{{{y^2=4x^2-4}}}...............plug in x=-1

{{{y^2=4*(-1)^2-4}}}

{{{y^2=4-4}}}

{{{y^2=0}}}

{{{y=0}}}


{{{ graph( 600, 600, -10, 10, -10, 10,-sqrt(x^2-1), sqrt(x^2-1),- sqrt(-x^2+1), sqrt(-x^2+1)) }}}