The quadratic equation can be expressed as
a x2 + b x + c = 0 (1)
which can be solved for the two alternatives of x as
x1,2 = (-b ± (b2 - 4 a c)1/2) / (2 a) (2)
Example - Solving Quadratic Equation
a = 1
b = 6
c = 5
then the two alternatives for x can be calculated as
x1 = (-6 + (62 - 4 1 5)1/2) / (2 1)
x2 = (-6 - (62 - 4 1 5)1/2) / (2 1)
Mathematical rules and laws - numbers, areas, volumes, exponents, trigonometric functions and more.
Principal algebraic expressions formulas.
Calculate the maximum number of circles within a rectangle - can be used to calculate the numbers of pipes or wires in a conduit or similar.
Calculate the arithmetic mean, median and modal values from discrete data sets.
The rules of logarithms - log10 and loge for numbers ranging 1 to 1000.
Calculate square, cube, square root and cubic root. Values tabulated for numbers ranging 1 to 100.
The difference between standard, scientific and engineering number notation.
Prime numbers up to 1000.
Calculate the number of small circles that fits into an outer larger circle - ex. how many pipes or wires fits into a larger pipe or conduit.
Equations with one unknown.
Online calculator and solbing procedure for two equations with two unknowns.