[tex]The \ Standard \ Form \ of \ a \ Quadratic \ Equation \ looks \ like \ this:\\\\ax^2+bx+c =0 \\\\ formula \ of \ roots \\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a} \\ \\When \ the \ Discriminant \ (b^2-4ac) \ is: \\ If \ (b^2-4ac)>0, \ the \ roots \ are \ unequal \ and \ there \ are \ two \ further \ possibilities \\\\ If \ (b^2-4ac)=0,\ the \ roots \ are \ equal \ and \ we \ can \ say \ that \ there \ is \ only \ one \ root \\\\If \ (b^2-4ac)< 0 \ then \ roots \ are \ imaginary \ (non-real) [/tex]
