If z=4+i, what is 1/z? (in the form a+bi)
1/z =1/(4+i) Multiply both top and bottom by the complex conjugate, z* = 4 - i, 1/z = (4-i)/((4+i)(4-i)) = (4-i)/(16+4i-4i-i2) = (4-i)/17 ans: 4/17 - i/17
RH
Answered by Rachel H. • Further Mathematics tutor
3840 Views
See similar Further Mathematics GCSE tutorsRelated Further Mathematics GCSE answers
All answers ▸Find the General Second Order Differential Equation Using Substitution (A2 Further Maths)
find the stationary point of the curve for the equation y=x^2 + 3x + 4
(x+4)((x^2) - kx - 5) is expanded and simplified. The coefficient of the x^2 term twice the coefficient of the x term. Work out the value of k.
The equation 3x^2 – 5x + 4 = 0 has roots P and Q, find a quadratic equation with the roots (P + 1/2Q) and (Q + 1/2P)