document.write( "Question 376791: Hi - my tutor is out of town and am stuck on this problem. Solve this sytem of equations for real number solutions: y=x^2-4 and x^2 = y^2 = 10 So far I have done this:\r
\n" ); document.write( "\n" ); document.write( "x^2 + y^2 = 10
\n" ); document.write( "-X^2 = y = -4
\n" ); document.write( "y^2 + y = 6
\n" ); document.write( "y^2 + y - 6 = 0
\n" ); document.write( "(y-2) (y + 3) = 0
\n" ); document.write( "y-2 = 0 y + 3 = 0
\n" ); document.write( "Y = 2 and y = -3\r
\n" ); document.write( "\n" ); document.write( "am now stuck\r
\n" ); document.write( "\n" ); document.write( "Thanks for your assistance\r
\n" ); document.write( "\n" ); document.write( "Carol
\n" ); document.write( "

Algebra.Com's Answer #268016 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
y=x^2-4 and
\n" ); document.write( "x^2 = y^2 = 10
\n" ); document.write( "--------------
\n" ); document.write( "So far I have done this:
\n" ); document.write( "x^2 + y^2 = 10
\n" ); document.write( "-X^2 = y = -4
\n" ); document.write( "y^2 + y = 6
\n" ); document.write( "y^2 + y - 6 = 0
\n" ); document.write( "(y-2) (y + 3) = 0
\n" ); document.write( "y-2 = 0 y + 3 = 0
\n" ); document.write( "Y = 2 and y = -3
\n" ); document.write( "am now stuck
\n" ); document.write( "------------
\n" ); document.write( "y=x^2-4 and
\n" ); document.write( "x^2 + y^2 = 10
\n" ); document.write( "Sub for y
\n" ); document.write( "x^2 + (x^2-4)^2 = 10
\n" ); document.write( "x^4 -7x^2 + 6 = 0
\n" ); document.write( "(x^2 - 6)*(x^2 - 1) = 0
\n" ); document.write( "x = ± sqrt(6) ; y = 2
\n" ); document.write( "x = ± 1 ; y = -3\r
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