Complex Number and Quadratic Equations
Find which of the following equations are quadratic:(x−1)2+(x+2)2+3(x+1)=0
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if αandβ are complex cube root of unity then find the value of α 2+β 2+αβ
If x=−2−−3, find the value of 2x4+5x3+7x2−x+41.
If k+∣∣k+z2∣∣=∣z∣2(k∈R−), then possible argument of z is
If n is a positive integer than show that(1+i)2n+(1−i)2n=2(n+1)cos(nπ/2)
Assertion :z is a unimodular complex number.STATEMENT-1: arg(z2+zˉ)=argz Reason :STATEMENT-2 : zˉ=cos(argz)−isin(argz)
If the multiplicative inverse of a complex number is (3+4i)(wherei=−1) then the complex number itself is
The multiplicative inverse of 4−5i3+4i is