solving quadratic equations and Inequalities

Solving Quadratic Equations By Finding Square Roots Factoring EX: Solve 21) Solve using the Quadratic Formula. x2 - 8=0 EX: Solve 3x2 - 5x - 12 = 0 22) Solve by graphing x2 = 8 Factor: (3x + 4) (x - 3) = 0 3x2 - 11x - 4 =0 (find the x-intercepts) x =+V8=+2V2 x2 - 10x + 21 = 0 Zero Product x = 2v2 and x = -2VZ Property: 3x + 4 = 0 and x - 3 = 0 x = - -313 Quadratic Formula By Graphing Words The solutions of a quadratic equation of the form ax2 + bx + c= 0, where a # 0, are given by the EX: Solve x2 + x - 6 =0 following formula. Graph y = x2 + x - 6 -b+ Vb2 - 40c 20 The x-coordinate of the vertex is - b EX: Solve x2 + 5x + 6 = 0. = - 5, and the axis of symmetry is x = - IN -5+152-4(1) (6) x = - 2(1) Make table of values using x values around - = -5+ 1 0 2 Part 4 - Inequalities x = - N f ( x ) - 6 -6 - 4 0 Solve each inequality. Graph the solution. x = - -5+1 _ _ 4 = -2 and x = -5-1 -6 = - 2 = -3 Plot the points: 2 23) x + 2 2 15 From the table and the graph x = -2, -3 We can see the zeros of the function 24) 5 - 3x