document.write( "Question 1031428: X squared + y squared = 4
\n" ); document.write( "X - 2y = 1\r
\n" ); document.write( "\n" ); document.write( "I'm really confused with this whole problem \n" ); document.write( "
Algebra.Com's Answer #646113 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
X squared + y squared = 4
\n" ); document.write( "X - 2y = 1
\n" ); document.write( ":
\n" ); document.write( "Two equations
\n" ); document.write( "x^2 + y^2 = 4
\n" ); document.write( "and
\n" ); document.write( "x - 2y = 1
\n" ); document.write( "Add 2y to both sides
\n" ); document.write( "x = 2y + 1
\n" ); document.write( "Now you can substitute (2y+1) for x in the 1st equation
\n" ); document.write( "(2y+1)^2 + y^2 = 4
\n" ); document.write( "FOIL (2y+1)(2y+1)
\n" ); document.write( "4y^2 + 4y + 1 + y^2 = 4
\n" ); document.write( "combine like terms to form a quadratic equation
\n" ); document.write( "4y^2 + y^2 + 4y + 1 - 4 = 0
\n" ); document.write( "5y^2 + 4y - 3 = 0
\n" ); document.write( "Use the quadratic formula to find y; a=5; b=4; c=-3;I got:
\n" ); document.write( "y = -1.272
\n" ); document.write( "and
\n" ); document.write( "y = +.472
\n" ); document.write( ":
\n" ); document.write( "Find x using both solutions
\n" ); document.write( "when y = -1.272
\n" ); document.write( "x = 2(-1.272) + 1
\n" ); document.write( "x = -2.544 + 1
\n" ); document.write( "x = -1.544
\n" ); document.write( ":
\n" ); document.write( "when y = .472
\n" ); document.write( "x = 2(.472) + 1
\n" ); document.write( "x = 1.944
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You should check both pairs of solutions in the 1st equations, will be close but not exact. we had to round off the solutions\r
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