We say that an equation is factorizable if it has a factor rather than 1. For instance:
x² + x = x(x + 1)
Another example:
x² + 2x + 1
= x² + x + x + 1
= x(x + 1) + 1(x + 1)
= (x + 1)²
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The factors of 75 are: 1, 3, 5, 15, 25, 75.
This is the generalized trinomial equation (aka quadratic):y = ax2 - bx - cBefore factoring, always check the discriminant of the quadratic equation, which is:b2 - 4acIf it is a rational square (16, 25, 196, 225), then it is factorable. If it is not, then it is not factorable.In this case, it is not, since the discriminant is equal to 2√3.Now, you will have to use the quadratic formula:(-b2 +/- √(b2 - 4ac))/2This will give you (14 +/- 2√3)/2
Gibbs-duhem-margules equation and its derivation
In order to find the equation of a tangent line you must take the derivative of the original equation and then find the points that it passes through.