![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
The equation is ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=723f0e4553f955e6583bd44ecec164cd.png\")
.
Compare the equation with ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=3ff6b57b5cabd0076d1296a57af93284.png\")
.
a = 8, b = 18 and c = ![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ef04c0de6dc2b67e84ab3159c34388bf.png\")
a) Now we can find discriminant value
\![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=9e7f8dc67b81abdb82057176bd6cd48d.png\")
(Substitute a = 8, b = 18 and c = ![\"\"](\"http://www.mathskey.com/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=ef04c0de6dc2b67e84ab3159c34388bf.png\")
)
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=496f27ed5135af3e22ae061180562190.png\")
![\"\"](\"/test/fckeditor/editor/plugins/fckeditor_wiris/integration/showimage.php?formula=34cc0c728e2d34b7aecabc9e951a2520.png\")
= 484.
\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 484 and the equation have two rational roots.