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 x²+3x+2 = (x+p)²+q (x+3/2)² = x²+3x+9/4 x²+3x+2 = (x+3/2)²-9/4+2 x²+3x+2 = (x+3/2)²-1/4

Brighton, a sea-side city in the South-East of the United Kingdom, has a population of over 275,000 people which is expected to grow to 300,000 by 2030. This is in addition to a student population of 34,0...

Firstly, we want to notice that this question only involves powers of 2^x, ie.
(2^x)^3 + 4 = (2^x)^2 + 4(2^x)
so we can use the substitution u = 2^x to give
u^3 - u^2 - 4u + 4 = 0
The...

The main assumptions of the model of perfect competition are: the number of selling firms tends to infinite, both sellers and buyers are price takers (i.e. they cannot influence the market price), identic...

Einerseits leben wir in einer stark industrialisierten Welt, wo jeder seine eigenen Berufsziele verwirklichen könne. Die Frauen werden immer unabhängiger und brauchen keine Unterstützung z.B. von den Männ...