Question 330301
1.{{{2x^2-y^2-4 =0}}}
2.{{{x^2+3y^2=23}}}
Multiply eq. 2 by -2 and add the equations together,
{{{2x^2-y^2-4-2x^2-6y^2=0-46}}}
{{{-7y^2-4=-46}}}
{{{-7y^2=-42}}}
{{{y^2=6}}}
{{{y=0 +- sqrt(6)}}}
From eq. 1,
{{{2x^2-6-4=0}}}
{{{2x^2=10}}}
{{{x^2=5}}}
{{{x=0 +- sqrt(5)}}}
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( {{{ -sqrt(5) }}} ,{{{-sqrt(6)}}})
({{{sqrt(5)}}},{{{-sqrt(6)}}})
({{{-sqrt(5)}}},{{{sqrt(6)}}})
({{{sqrt(5)}}},{{{sqrt(6)}}})
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.
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{{{drawing(300,300,-8,8,-8,8,grid(1),
circle(-sqrt(5),-sqrt(6),.3),
circle(sqrt(5),-sqrt(6),.3),
circle(-sqrt(5),sqrt(6),.3),
circle(sqrt(5),sqrt(6),.3),
graph(300,300,-8,8,-8,8,sqrt(2x^2-4),sqrt((23-x^2)/3)),
graph(300,300,-8,8,-8,8,-sqrt(2x^2-4),-sqrt((23-x^2)/3)))}}}