what is (a+b+c)whole square

sir how to solve quadratic inequalities by wavy curve method

Q Find the square root of the complex number 5 -12i.

prove that

cosA +cosB +cosC +cos(A+B+C) = 4cos((A+B) / 2)cos((B+C) / 2)cos((C+A) / 2)

Find the modulus and argument of 1 + 2 i / 1 - 3 i ???

if the ratio of the roots of the equation x²+px+q=0 is equal to the ratio of the roots of the equation x²+lx+m=0, prove that mp²=ql²

Express in polar form 1 + 2i/1-3i

If (x+iy)^1/3 =(a+ib),prove that (x/a+y/b)=4(a^2-b^2)?

find sqrt(1-i)

if alpha and beta are 2 different complex numbers with |beta| = 1, then find |beta-alpha/1-bar alpha*beta|

If z =(x+iy) and w =( 1 - iz) / (z - 1) such that | w | = 1 then show that z is purely real .

if (x+iy)³ = u+iv, then show that u/x +v/y = 4(x² - y²)

 if z is a complex number and |z|=1 then prove that z-1/z+1 is a purely imaginary number

find the value of x and y if (1+i)x-2i/3+i + (2-3i)y+i/3-i =i