A complex nummer can be visually represented as a pair o nummers(a, b) furmin a vector on a diagram cried anArgand diagram, representin thecomplex plane. "Re" is the real axis, "Im" is the imaginary axis, ani is theimaginary unit which satisfies the equationi2 = −1.
Acomplex nummer is anummer that can be expressed in the furma +bi, whaura anb arereal nummers ani is theimaginary unit, which satisfies the equationi2 = −1.[1] In this expression,a is thereal pairt anb is theimaginary pairt o the complex nummer. Complex nummers extend the concept o the ane-dimensionalnummer line tae the two-dimensionalcomplex plane bi uisin the horizontal axis for the real pairt an the vertical axis for the imaginary pairt. The complex nummera +bi can be identified wi the pynt(a, b) in the complex plane. A complex nummer whose real pairt is zero is said tae be purelyimaginary, whauras a complex nummer whose imaginary pairt is zero is areal nummer. In this way the complex numberscontain the ordinary real nummers while extendin them in order tae solve problems that cannae be solved wi real nummers alane.
