Complex Roots

Algebra Level 2

Let \(a+bi\) and \(c+di\) be the two roots of the quadratic equation \[ix^2+(6-7i)x-21-9i=0,\] where \(a<c\). What is the value of \(ad+bc?\)

\(i\) is the imaginary number that satisfies \(i^2 = -1.\)

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