Solve the given mathematics problem using complex number theory. Consider the quadratic equation: z2 −6z+13=0 i) Calculate the discriminant of the quadratic equation (D = b2 −4ac) and determine whether it has real or complex roots. Explain your findings.

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A: The quadratic equation is:.

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Q: Solve a) the following polynomial equations algebraically. Answer in exact form. +7x² - 5x = 0 6x³ +…

A: To solve the following polynomial equations algebraically.

Q: 2. Use the cyclic property of i to simplify: (a) ¿26 (c) i420 (b) ¿69 (d) i4000003

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Q: Fill in the following blanks to solve the equation=x²+4= 24 using the square root property: 2 x²+ 2…

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Q: A farmer has 120 feet of fence to enclose a rectangular area. What dimensions for the rectangle…

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