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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 57HP
Question

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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