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. If k = 1, then D = 31. So (1) is false.If k is a negative real number, then D is a negative real number. So (4) is true.If k = i, then D = -4 + 40i = 16 + 40i - 25 = (4 + 5i)2, and the roots are 15+25i and −-15-110i. So (3) is false.If k = 0 (which is a complex number), then the roots are 0 and 310i So (2) is false.