Wednesday, March 18, 2015

x^2 -4x

First of all, let's solve the expression like an equation. For this reason, we'll put:


x^2 -4x = 0


We'll factorize and we'll get:


x(x-4) = 0


We'll put each factor equal to zero.


x = 0


x-4 = 0


x = 4


Now, we'll follow the rule: between the solution of the equation, the expression will have the opposite sign of the coefficient of x^2, that means that x(x-4)<0, outside the solutions, the expression will be positive.


So, the conclusion is that the expression is negative for values of x which are in the interval (0,4).

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