If (a + 3i) / (2 + ib) = 1 - i, show that 5a - 7b = 0.

If frac{a+3i}{2+ib} = 1-i, show that (5a-7b)=0

If a + ib = (1 + i) / (1 - i) , prove that a^2 + b^2 = 1

Solve the following: If a = (-1 + sqrt(3)i) / 2 , b = (-1 - sqrt(3)i) / 2 , show that a^2 = b and b ^2 = a

Find a and b if: (a + ib) + (1 + i) = 2 + i

Fina a and b if (a + ib) (1 + i) = 2 + i

Express the following in the form of a + ib, where a, b in R , i = sqrt-1 . State the value of a and b. (3 + 2i) / (2 - 5i) + (3 - 2i) / (2 + 5i)

Write (1 +2i ) (1 + 3i ) ( 2 + i ) ^(-1) in the form a + ib

Express (3 + i) / (-5 - 4i) in the form of a + ib.