![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The equation is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=aac49c6d881c69385799e5626d77ae43.png\")
.
Compare the equation with ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3ff6b57b5cabd0076d1296a57af93284.png\")
.
a = 2, b = ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=76e92fb6e9a58c730f1bd5261079a078.png\")
and c = 1
a) Now we can find discriminant value
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=314e345d41aabcd219f8cb054a695daa.png\")
(Substitute a = 2, b = and c = 1)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=08d3c836b086dbf89edf40b2c4a2d3b2.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=0da6ff2445b668c6432e218c98a668d2.png\")
= 8.
\b) The discriminant is positive, so the equation have two rational roots.![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
The discriminant value is 8 and the equation have two rational roots.