If `(2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)),` find the value of `A^(2)+B^(2)`

If (a+ib)=i^(i-oo), find the value of a^(2)+b^(2) and (b)/(a).

If (2+3i)/(1+i)=A+iB, find the value of A and B.

If a+ib=(5+3i)(6i+1) , what is the value of a^(2)+b^(2) ?

If (sqrt(8)+i)^(50)=3^(49)(a+ib), then find the value of a^(2)+b^(2)

If (5-3i)^2=a+ib then find the values of a and b.

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

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)

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

Express the following in the form of (a+ib), a,b in R, i= sqrt (-1) State the values of a and b: (2+3i)(2-3i)

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