Find the positive value of t that satisfies ab = t - 2i given |a| = 2 and |b| = sqrt(26).
AB = T - 2i
|A| = 2, |B| = sqrt(26)
First, let's assume that A and B are positive values
2sqrt(26) = T - 2sqrt(-1)
T = 2(sqrt(26) + i)
Then, assuming A and B are negative values
(-2)(-1)sqrt(26) = T - 2i
2sqrt(26) = T -2sqrt(-1)
They are the same thing. Ergo, the value of T is 2(sqrt(26) + i) OR 2sqrt(26) + 2i. Whichever way you want to present it.