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In this kind of exersise it is easy to use Viète's formula for quadratic equations: Let: a+b = S a b=P then x 2 -Sx + P=0 In our case, S=6 and P=14 by multiplying the fractions we get: (a a)/(a b)+(b b)/(a b...

Taking a sample survey is quicker, cheaper and easier to carry out than a census.

An arithematic progression has terms in a sequence such that the difference between any two consecutive terms is a constant and is given by a common difference, say, d. If first term in the progression is a,...

The matrix is singular. No inverse matrix. Geometrically: No unique point of intersection of planes, Either no common point, a line of intersection or the three planes coincide. Alegebriacally: No unique sol...

Sometimes it would be enough to factorise the polynomials (in case the limit we are trying to compute is writen in terms of polynomials) and eliminate common factors in the quotient. However, most of them ca...