document.write( "Question 982936: Function & graph:\r
\n" ); document.write( "\n" ); document.write( "The two curves are the branches of the graph of y=1/x. The straight line intercepts the x-axis at point (-1,0) and the y-axis at point (0,2).it also cuts the curves at points A and B. Find the coordinates of point A and of point B.
\n" ); document.write( "

Algebra.Com's Answer #603728 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
The line has slope 2 and y-intercept is given. The line has the equation \"y=2x%2B2\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The intersection points A and B will be for \"1%2Fx=2x%2B2\" formed by equating the two expressions for y. This will be a quadratic equation giving two x coordinates.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"2x%2B2=1%2Fx\"
\n" ); document.write( "\"2x%5E2%2B2x=1\"
\n" ); document.write( "\"2x%5E2%2B2x-1=0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Discriminant is \"2%5E2-4%2A2%2A%28-1%29=4%2B8=12\".
\n" ); document.write( "\"x=%28-2%2B-+sqrt%2812%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28-2%2B-+2%2Asqrt%283%29%29%2F4\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28-1%2B-+sqrt%283%29%29%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---
\n" ); document.write( "The two points to be found, still unfinished, would be as these:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=%28-1-sqrt%283%29%29%2F2\" and \"y=2%2F%28-1-sqrt%283%29%29\"
\n" ); document.write( "-
\n" ); document.write( "\"x=%28-1%2Bsqrt%283%29%29%2F2\" and \"y=2%2F%28-1%2Bsqrt%283%29%29\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"graph%28300%2C300%2C-4%2C4%2C-4%2C4%2C1%2Fx%2C2x%2B2%29\"
\n" ); document.write( "
\n" );