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This question requires you to work through methodically in stages. We want two numbers, a and b, which fit into brackets of the form: (x + a)(x + b). By doing this, we have simplified the expression throu...

Patent - Gives exclusive right to make, use or sell a new invention for a set period of 20 years. It allows the designer to take legal action, but it must be shared in detail in the public domain. It must...

Find an expression for y
y = 3 - x
sub this into the second equation
x^2 + (3 - x)^2 = 5
then expand the brackets
x^2 + x^2 - 6x + 9 = 5
simplify
2(x^2 - 3x + 2) = 0<...

First differentiate the function to obtain
dy/dx = 6x^2 + 30x + 24
Then set this equal to 0 and solve to find the x values of the stationary points
6x^2 + 30x + 24 = 0
6(x^2 + 5x + 4) ...

Be assured that this question makes all French learners stop and think sometimes! So I will do my best to explain it in a way that helps me remember when to use which tense. Both of these tenses are used ...