Home
Class 11
MATHS
If x=a+bi is a complex number such that...

If `x=a+bi` is a complex number such that `x^2=3+4i and x^3=2+11i`, where `i=sqrt-1`, then `(a+b)` equal to

Text Solution

Verified by Experts

`x = (x^(3))/(x^(2)) = (2+11i)/(3+4i) xx (3-4i)/(3-4i) = (50+ 25i)/(2+i)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If z=i^(i^(i)) where i=sqrt-1 then |z| is equal to

if A=[[i,0] , [0,i]] where i=sqrt(-1) and x epsilon N then A^(4x) equals to:

The complex number (2+3i)/(3+2i) in a+ib form

Show that the complex numbers 3 + 2i, 5i, -3 + 2i, and -i form a square.

Suppose n is a natural number such that |i + 2i^2 + 3i^3 +...... + ni^n|=18sqrt2 where i is the square root of -1 . Then n is

Find the modulus of the complex number 2i(3 - 4i)(4 - 3i)

If the complex number 2 + i and 1 - 2i are equidistant from x + iy then show that x + 3y = 0

Find the modulus of the complex number (2i)/(3 + 4i)

Write in polar form of the complex numbers. 2 + i2 sqrt(3)

If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then |z| is