document.write( "Question 1020125: Please help me solve this problem: y=x^2-4x+10
\n" ); document.write( " y=2x+10 \n" ); document.write( "

Algebra.Com's Answer #636071 by ikleyn(52787) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Please help me solve this problem: y=x^2-4x+10
\n" ); document.write( " y=2x+10
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "You are given a system of two equations\r\n" );
document.write( "\r\n" );
document.write( " = ,    (1)\r\n" );
document.write( " = .        (2)\r\n" );
document.write( "\r\n" );
document.write( "Since their left sides are identical, you can equate their right sides. Then you will get an equation\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "(Notice: it is the same as to substitute expression (2) into equation (1)).\r\n" );
document.write( "\r\n" );
document.write( "Simplify:\r\n" );
document.write( "\r\n" );
document.write( " = .\r\n" );
document.write( "\r\n" );
document.write( "Factor the left side polynomial. You will get\r\n" );
document.write( "\r\n" );
document.write( "x*(x-6) = 0.\r\n" );
document.write( "\r\n" );
document.write( "It has two roots: x=0 and x=6.\r\n" );
document.write( "The corresponding y's are (from (2)):  y = 2x+10 = 2*0+10 = 10  and  y = 2*6+10 = 22, correspondingly.\r\n" );
document.write( "\r\n" );
document.write( "Answer. There are two solutions: 1) (x,y) = (0,10)  and  2) (x,y) = (6,22).\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );