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Set the equations equal to each other: 4x^2 + 5x + 3 = x + 2Collect terms and set equal to 0: 4x^2 + 4x + 1 = 0Factorise the equation: (2x + 1)(2x + 1) = 0Can now find the value of x: 2x + 1 = 0, therefor...

First set the equations equal to each other: x^2+4x+4 = 2x+3.Rearrange for x in form ax^2+bx+c : x^2+2x+1=0Factorise: (x+1)^2=0. Repeated root, hence only one intersection. x=-1. Using y=2x+3, y=1. So coo...

The way in which British artists depicted nature changed considerably as different artists of different periods adapted it to their contemporary. Before the eighteenth-century paintings of nature was seen...

The bonds in H₂O are covalent bonds. Covalent bonds are formed when two atoms share a pair of electrons, often where one electron is donated by each atom. This forms a bond as there is an elect...

First of all we want to think about the general behaviour of the function. Does it grow as x grows? Does it oscillate? Does it tend to a limit? We also need to think about if there are any worrying points...