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Normalmente, durante mi tiempo libre, me gusta mucho ver vídeos en YouTube. En mi casa tenemos tele, pero me gusta más ver vídeos porque son más cortos que un episodio de una serie y, además, si me canso,...

i) y = x²+3x+2 = (x+3/2)²-1/4Solution for (x+3/2) = 0 is x coordinate, which is x = -3/2Solution for y value is the additional constant, which is y = -1/4Therefore the vertex (minimu...

 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...