consider the equation 10z2−3iz−k=0, where z is a complex variable and i2=−1. which of the following statements is true?

10z2−3iz−k=0⇒ z=3i±−9+40k20Now, D=−9+40k. lf k = 1, then D = 31. So (a) is false.If k is a negative real number, then D is a negative real number. So (d) is true.lf k = i, then D=−9+40i=16+40i−25=(4+5i)2, and the roots are (1/5)+(2/5)i and −(1/5−1/10)i. So (c) is false. If k = 0 (which is a complex number), then the roots are 0 and (3/10)i. So (b) is false.