document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=815698>Question 815698</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ The point (x,1) is 4 times the square root of 2 units from (2,3). Find x. ] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #491161 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=491161\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> distance between two points:<BR>\n" );
document.write( "d = sqrt( dx^2 + dy^2 )<BR>\n" );
document.write( "where:<BR>\n" );
document.write( "dx is the difference between the x-coordinates<BR>\n" );
document.write( "dy is the difference between the y-coordinates<BR>\n" );
document.write( "---<BR>\n" );
document.write( "d = sqrt( dx^2 + dy^2 )<BR>\n" );
document.write( "4*sqrt(2) = sqrt( (x - 2)^2 + (1 - 3)^2 )<BR>\n" );
document.write( "(4*sqrt(2))^2 = (x - 2)^2 + (1 - 3)^2<BR>\n" );
document.write( "16*2 = (x - 2)^2 + (-2)^2<BR>\n" );
document.write( "32 = xx - 4x + 4 + 4<BR>\n" );
document.write( "xx - 4x - 24 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=-4, and c=-24<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, plug this:<BR>\n" );
document.write( "1 -4 -24<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the roots of the quadratic are:<BR>\n" );
document.write( "x = 7.29150262<BR>\n" );
document.write( "x = -3.29150262<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "both roots are valid values for x <BR>\n" );
document.write( "(i.e. both roots answer the question as to what is the value of x.)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );