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Calculate with complex numbers in Cartesian form

DIFFICULTYchallengeexam
Question 1 of 8

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Solve this real-coefficient quadratic over the complex numbers. Write the unordered root pair as h ± k√d i, where k>0 and d is a positive square-free integer; use d=1 when the imaginary coefficient is rational. Enter h,k,d

\[9z^2+(-12)z+(49)=0\]
3 marks