(A) Solve the Quadratic Equation $2 x^{2}+5 x-1=0$ Analytically $P(x)=2 x^{2}+5 x-1$

Essay

(a) Solve the quadratic equation $2 x^{2}+5 x-1=0$ analytically. Give the solutions in exact form.
(b) Graph $P(x)=2 x^{2}+5 x-1$ with a calculator. Use your results in part (a) along with this graph to give the solution set of each inequality. Express endpoints of the intervals in exact form.
(i) $P(x)<0$
(ii) $P(x) \geq 0$