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Operations on Complex Numbers Simplify each of the oowing and write in the form a + bf. Solving Quadratic Equations with Complex Solutions Solve the quadratic equation 332 + 249: + 123 = 0 by using the Quadratic Formula. Steps 1. Write the equation in Standard Form 2. identify the coefcients a, b and c. 3. Substitute the values into the quadratic equation _ b:l:\\/b2 4a,c $_ 20. 4. Solve the equation for an and :32 _ b+ \\lbz' 4ac _ 2a. 32 5. Write your answers in Exact Form. 6. Note: if only one solution exists, 9:2 will equal DN E Solving Quadratic Equations with Complex Solutions Solve the quadratic equation 21:2 + 249: + 236 = 0 by using the Quadratic Formula. Steps 1. Write the equation in Standard Form 2. identil the coefcients a, b and c. 3. Substitute the values into the quadratic equation _ b:|: vb? 4ac 2a 2! 4. Solve the equation for $1 and $2 b\\/b24ac _ b+\\/b24arc 11:1 = $2 2a 2a. 5. Write your answers in Approximate Form (Rounded to three decimal places as needed). 6. Note: if only one solution exists, :52 will equal DN E 29:2 + 24$ + 236 = 0 Approximate Form Approximate Form Evaluating and Solving Quadratic Functions A company's revenue earned from selling x items is given by the function R(m) = 24m, and their cost is given by the function C(w) = 23:2. Use this function to answer the following questions. Write a function, P(x). that represents the company's prot from selling x items. .3... = :1 Rewrite the function as a Quadratic Equation by setting P(a:) = 0: :] Find the minimum and maximum number of units that can be sold that will result in the company breaking even. The company must sell at least :] units to break even. The company can sell at most :] units and still break even. Evaluating and Solving Quadratic Functions A company's revenue earned from selling x items is given by the function R(a:) = 113:, and their cost is given by the function C(m) = m2 + 24. Use this function to answer the following questions. Write a function, P(x), that represents the company's prot from selling x items. 12...: :1 Rewrite the function as a Quadratic Equation by setting P($) = 0: :] Solve the Quadratic Equation to nd the minimum and maximum number of units that can be sold that will result in the company breaking even. The company must sell at least :] units to break even. The company can sell at most :] units and still break even