document.write( "Question 601259: Use the method of substitution to solve the system (x^2+y^2=17) (x+y=1) \n" ); document.write( "
Algebra.Com's Answer #379667 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2%2By%5E2=17\"\r
\n" ); document.write( "\n" ); document.write( "(x+y)=1\r
\n" ); document.write( "\n" ); document.write( "y= 1-x\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B%281-x%29%5E2=17\"\r
\n" ); document.write( "\n" ); document.write( "\"x%5E2%2B1-2x%2Bx%5E2=17\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2-2x%2B1=17\"\r
\n" ); document.write( "\n" ); document.write( "\"2x%5E2-2x-16=0\"\r
\n" ); document.write( "\n" ); document.write( "/2
\n" ); document.write( "\"x%5E2-x-8=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 1 , b= -1 , c= -8
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 1 + 32
\n" ); document.write( "b^2-4ac= 33
\n" ); document.write( "\"%09sqrt%28%0933%09%29=%095.74%09\"
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x1=( 1 + 5.74 )/ 2
\n" ); document.write( "x1= 3.37
\n" ); document.write( "\"x2=%28-b-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"
\n" ); document.write( "x2=( 1 -5.74 ) / 2
\n" ); document.write( "x2= -2.37 \r
\n" ); document.write( "\n" ); document.write( "When x= 3.37 y = -2.37 \r
\n" ); document.write( "\n" ); document.write( "When x= -2.37 y=3.37\r
\n" ); document.write( "\n" ); document.write( "m.ananth@hotmail.ca\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );