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(A) Solve the Quadratic Equation 3x2+4x3=03 x^{2}+4 x-3=0 Analytically P(x)=3x2+4x3P(x)=3 x^{2}+4 x-3

Question 23

Essay

(a) Solve the quadratic equation 3x2+4x3=03 x^{2}+4 x-3=0 analytically. Give the solutions in exact form.
(b) Graph P(x)=3x2+4x3P(x)=3 x^{2}+4 x-3 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)>0P(x)>0
(ii) P(x)0P(x) \leq 0

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