Solving Quadratic Equations And Linear Inequalities

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MA1210 : Week 4 Lab Page 1 Solving Quadratic Equations and Linear Inequalities Quadratic Equations and Linear Inequalities This lab requires you to: • Identify and use the quadratic formula to solve a quadratic equation. • Solve an equation that is quadratic in form. • Write a lin ear inequality and solve it for a given condition. • Identify the graph that represents the written linear inequality. Answer the following questions to complete this lab: Quadratic Equations: 1. State the quadratic formula. ax 2 + bx + c= 0 ………………..(Quad ratic formula) The solutions are; x = a ac b b 2 4 2 −  − 2. Choose a problem from the following problems and solve it using the quadratic formula. Be sure to show all your work to get full credit. a. a =1, b = 8, c = 12 x = 1 * 2 12 * 1 * 4 8 8 2 −  − = 2 48 64 8 −  − = 2 4 8 2 16 8  − =  − x 1 = 2 2 4 2 4 8 − = − = + − x 2 = 6 2 12 2 4 8 − = − = − − Therefore, solutions are x= - 2 and x = - 6
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