((1)/(5)+i(2)/(5))-(++i(5)/(2))

Express of the complex number in the form a+ibquad ((1)/(5)+i(2)/(5))-(4+i(5)/(2))

((1)/(5)+(2)/(5)i)-(4+(5)/(2)i) Express it in form of a+ib

Express each of the following in the form a+ib:((1)/(5)+(2)/(5)i)-(4+(5)/(2)i)

Simplify : {:((i),3(6+6i)+i(6+6i),(ii),(1-i)-(-3+6i)),((iii),((1)/(3)-(2)/(3)i)-(4+(3)/(2)i),(iv),{((1)/(5)+(7)/(5)i)-(6+(1)/(5)i)}-((-4)/(5)+i)):}

Perform the indicated operations and write the result in the form x+iy: (i) (-3+2i)+(-6+3i) (ii) ((1)/(2)+(7)/(2)i)-(4+(5)/(2)i) (iii) (1-2i)-i+(4-7i)-2i+(5i+3) .

Solve :- (1/5 + i2/5) - (4 + i5/2)

Roots of the equation are (z+1)^(5)=(z-1)^(5) are (a)+-i tan((pi)/(5)),+-i tan((2 pi)/(5))(b)+-i cot((pi)/(5)),+-i cot((2 pi)/(5))(c)+-i cot((pi)/(5)),+-i tan((2 pi)/(5))(d)none of these

Simplify and express each of the following in the form (a + ib) : (i)" "((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))" "(ii)" "((1)/(1-4i)-(2)/(1+i))((1-i)/(5+3i))

(1+i)^(5)+(1-i)^(5)

If z=((sqrt(5))/(2)+(i)/(2))^(5)+((sqrt(5))/(2)-(i)/(2))^(5) , the prove that Im(z)=0 .