Student Activity: To solve a quadratic equation using the formula Use in connection with the Interactive file, 'Quadratic formula', on the Student's CD. a=1.3 -8 c3 Move sliders to change equation yax²+bx+c Current equation is y=1.3x² y=1.3x +6x+3 1. (-4.04,0) b=6 -6 -5 -3 -2 12- 10- 8 0.57,0) i 0 Click to see completed formula to solve the roots ✔Click to see final calculation of the 2 roots Root 1 (6)+(6) -4(1.3)(3)(6)+√(204) -(6)+(4.52) (2.6) 2 2(1.3) Root 2 3 (2.6) 5 b. By substituting into the formula x = for x. = = (6)-(20.4) (2.6) -(6)-(6)-4(1.3)(3) 2(1.3) Note when this file states the solution is undefined it means it is undefined in the Real numberline. ✓Click to see graph 6 -(6)-(4.52) (2.6) 7 8 =0.57 -b± √b²-4ac 2a 4.04 9 10 11 Maths South 12 13 14 a. Given that the equation 1x² + 5x + 4 = 0 is in the form ax² + bx + c = 0, what values have a, b and c? Project c. Use the interactive file to determine, where the graph of the function represented by the equation y= 1x² + 5x + 4 intersects the x axis. Team e. What is the name given to equations of the form ax² + bx + c = 0? solve the above equation 15 d. Is there any relationship between the solution (s) to the equation and where the graph of the function represented by the equation intersects the x axis? Draft 01 Project Maths Development Team 2011 Quadratic equation using the formula Page 1 of 5