Arithmetic mean, Geometric mean, Powers and Exponents, The Equation I and II degree
Arithmetic mean (average):
Geometric mean (proportional):
Weighted arithmetic mean:
where a1, a2, ..., an represent numbers with weights p1, p2, ..., pn.
Formulas for calculating short
First degree equations:
A first degree equation has the form: ax+b=0.
The solution for this equation is x = -b/a, with a different 0.
If a = 0 and b different 0, the solution is void (empty set). Thus, i.e. if a = 0 and b = 0, the solution is the whole lot of definition.
Ecuatia de gradul al II-lea:
The canonical form of an equation second degree is: ax2+bx+c=0. The steps to solve this type of equation are:
- Calculate the discriminant:
- Evaluate the discriminant (Δ):
- if the discrimnant is negative (Δ < 0), the equation has no solutions in real's set;
- if the discrimnant is nul (Δ = 0), the equation has only one solution in the real's set (x1 = x2);
- if the discrimnant is positive (Δ > 0), the equation has only two solutions;
- Calculate the solutions:
Relations between the roots of second degree equation
formulas algebra, arithmetic mean, geometric mean calculation formulas Powers abbreviated equation degree Ec. gr. II. Relations between the roots of the equation grade II
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