Input interpretation complete the square | 28 + 10 x + x^2 Result (x + 5)^2 + 3 Geometric figure parabola Polynomial discriminant Delta = -12 Derivative d/dx((x + 5)^2 + 3) = 2 (x + 5) Indefinite integral integral (3 + (5 + x)^2) dx = x^3/3 + 5 x^2 + 28 x + […]
Input interpretation quadratic formula Equation x^2 – 2 x + 1 = 0 a x^2 + b x + c = 0 | x | indeterminate variable a | quadratic coefficient b | linear coefficient c | constant coefficient (x = (-b ± sqrt(b^2 – 4 a c))/(2 a)) Input values quadratic coefficient | 1 […]
Input interpretation Number Theory > Arithmetic > Fractions | Number Theory > Arithmetic > Fractions
Infinite sum sum_(k=0)^infinity x^k = 1/(1 – x) when abs(x)
Input sqrt(12) Result 2 sqrt(3) Decimal approximation 3.464101615137754587054892683011744733885610507620761256111… Continued fraction [3; 2, 6^_]
Input sqrt(12) Result 2 sqrt(3) Decimal approximation 3.464101615137754587054892683011744733885610507620761256111… Continued fraction [3; 2, 6^_]
Input sqrt(12) Result 2 sqrt(3) Decimal approximation 3.464101615137754587054892683011744733885610507620761256111… Continued fraction [3; 2, 6^_]
Input interpretation arithmetic progression Alternate name arithmetic sequence Definition An arithmetic progression, also known as an arithmetic sequence, is a sequence of n numbers {a_0 + kd}_(k = 0)^(n – 1) such that the differences between successive terms is a constant d. An arithmetic progression can be generated in the Wolfram Language using the command […]
Input interpretation complete the square | 28 + 10 x + x^2 Result (x + 5)^2 + 3 Geometric figure parabola Polynomial discriminant Delta = -12 Derivative d/dx((x + 5)^2 + 3) = 2 (x + 5) Indefinite integral integral (3 + (5 + x)^2) dx = x^3/3 + 5 x^2 + 28 x + […]