# Name date perform each of the following calculations

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Name: Date:
Perform each of the following calculations involving complex numbers, and write the answer, simplified as much as possible, in the form a+ bi, where aand bare real numbers. Show all work.1. (4 pts) (46i)(1+8i= 4-6i+1-8i)
3. (4 pts) 2+3i
i
4. (5 pts) Find the solutions of the equation 3x2=4x+1. Simplify your answer as far as possible. Do notexpress your answer as a decimalShow work.
5. (2 pts each) Look at the graph and state the intercept(s), vertex, and range, and indicate which of equations A, B, C, or D, represents the graph. [No explanations required.]GraphFill in the blanks Equation
State the y-intercept: a. (0,3)The graph represents which of the following equations? State the x-intercept(s):b. (-3,0)c. (1,0)State the vertex:d.(-1,4)State the range:e.(-∞,4]f. Choice: AA. y= x2–2x+3B. y= x2+2x+ 3C. y= x2– 2x+ 3D. y= x2+2x+ 36. (4 pts each) Consider the equation 7x28x+3=0(a) Find and statethe value of the discriminant,b2– 4ac. Then state whether one real-number solution, two different real-number solutions, or two different imaginary-number solutions exists. Show work..
(b) Find the exact solutions of the equation. Simplify as much as possible. Show work.You are welcome to use any of the techniques which apply and that you prefer except graphing (i.e., factoring, applying the principle of square roots, completing the square, or the quadratic formula).
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