Algebra QUADRATIC EQUATIONS Step 3. Check the roots. 2x² 4 6x x² 2(3 5 )² 4 6(3 5 ) (3 5 )² 2(9 6 5 5) 4 18 6 5 9 6 5 5 18 12 5 10 4 18 12 5 9 5 32 12 5 32 12 5 and, 2x² 4 6x x² 2(3 5 )² 4 6(3 5 ) (3 5 )² 2(9 6 5 5) 4 18 6 5 9 6 5 5 18 12 5 10 4 18 12 5 9 5 32 12 5 32 12 5 Thus, the roots check. The  Quadratic  Formula  can  be  used  to  find  the  roots  of  any  quadratic  equation.   For  a  pure quadratic equation in which the numerical coefficient b equals zero, the Quadratic Formula (2-8) reduces to the formula given as Equation 2-9. (2-8) x b  ± b² 4ac 2a Rev. 0 Page 29 MA-02