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.

Q: 1) Factor and solve the following quadratic equations: a) x² + 2x - 24 b) 3x² - 9x - 12 c) 9x² + 12x…

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Q: 3m2 + m +5 = 0

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Q: ) Solve the following quadratic equation using the Zero Product Property. Clearly show all our…

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Q: How many zeros (solutions) does the following quadratic equation have 4x² - 19x + 12 = 0 a) one b)…

A: The quadratic equation is:.

Q: 2. Solve the following quadratic equations using the quadratic formula.a) 2x2 + 7x + 5 = 0 b) 10x2 –…

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Q: Use factoring by grouping to determine all solutions to the polynomial equation 4x +12x? +9x+27=0 3.…

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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

A: As per guidelines, I can answer only one question.To know rest, please reupload particular question.

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…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: 9.) 9x² + 49 =D0 b.) 2x²-64=0 c) x²-16=0

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Q: Solve the quadratic equation by first factoring the perfect square trinomial on the left side. Then…

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