document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1165312>Question 1165312</A>: <I><SPAN STYLE=\"word-break: break-all;\"> la suma de las soluciones de la ecuación √x+2/√x=7 es:<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #789790 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=789790\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> equation is sqrt(x + 2) / sqrt(x) = 7.<BR>\n" );
document.write( "multiply both sides of the equation by sqrt(x) to get:<BR>\n" );
document.write( "sqrt(x + 2) = 7 * sqrt(x).<BR>\n" );
document.write( "square both sides of the equation to get:<BR>\n" );
document.write( "x + 2 = 49 * x<BR>\n" );
document.write( "subtract x from both sides of the equation to get:<BR>\n" );
document.write( "2 = 48 * x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = 2/48\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to confirm, replace x in the original equation with 2/48 to get:<BR>\n" );
document.write( "sqrt(2/48 + 2) / sqrt(2/48) = 7<BR>\n" );
document.write( "this results in 7 = 7, confirming the solution is correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i graphed the equations of y = sqrt(x+2)/sqrt(x) and y = 7.<BR>\n" );
document.write( "the intersection of those two equations is the solution.<BR>\n" );
document.write( "it looks like this.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/091903.jpg\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the intersection point is .0417,7)<BR>\n" );
document.write( "that means x = .0417 and y = 7.<BR>\n" );
document.write( "2/48 = .041666666667 which is equal to .0417 when the answer is rounded to 4 decimal points.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "la ecuación es sqrt (x + 2) / sqrt (x) = 7.<BR>\n" );
document.write( "multiplica ambos lados de la ecuación por sqrt (x) para obtener:<BR>\n" );
document.write( "raíz cuadrada (x + 2) = 7 * raíz cuadrada (x).<BR>\n" );
document.write( "Cuadre ambos lados de la ecuación para obtener:<BR>\n" );
document.write( "x + 2 = 49 * x<BR>\n" );
document.write( "reste x de ambos lados de la ecuación para obtener:<BR>\n" );
document.write( "2 = 48 * x<BR>\n" );
document.write( "resolver x para obtener:<BR>\n" );
document.write( "x = 2/48\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "para confirmar, reemplace x en la ecuación original con 2/48 para obtener:<BR>\n" );
document.write( "sqrt (2/48 + 2) / sqrt (2/48) = 7<BR>\n" );
document.write( "esto da como resultado 7 = 7, lo que confirma que la solución es correcta.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Grafiqué las ecuaciones de y = sqrt (x + 2) / sqrt (x) e y = 7.<BR>\n" );
document.write( "la intersección de esas dos ecuaciones es la solución.<BR>\n" );
document.write( "se parece a esto.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2020/091903.jpg\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "el punto de intersección es .0417,7)<BR>\n" );
document.write( "eso significa x = .0417 e y = 7.<BR>\n" );
document.write( "2/48 = .041666666667 que es igual a .0417 cuando la respuesta se redondea a 4 puntos decimales.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );