Search results
Results from the WOW.Com Content Network
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle.
The roots of the quadratic function y = 1 / 2 x 2 − 3x + 5 / 2 are the places where the graph intersects the x-axis, the values x = 1 and x = 5. They can be found via the quadratic formula. In elementary algebra, the quadratic formula is a closed-form expression describing the solutions of a quadratic equation.
Substitutions of hyperbolic functions can also be used to simplify integrals. [ 4 ] For example, to integrate 1 / a 2 + x 2 {\displaystyle 1/{\sqrt {a^{2}+x^{2}}}} , introduce the substitution x = a sinh u {\displaystyle x=a\sinh {u}} (and hence d x = a cosh u d u {\displaystyle dx=a\cosh u\,du} ), then use the identity cosh 2 ( x ...
For example, 3x 2 − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power 1 / 2 , the following is also an algebraic expression: + See also: Algebraic equation and Algebraic closure
London — A Michelin-starred chef in England called Monday on the thieves who stole his work van, along with about $32,000 worth of meat pies inside it, to embrace the holiday spirit and hand ...
CAIRO (Reuters) -Two flash bombs were fired towards Israeli Prime Minister Benjamin Netanyahu's home in the northern Israeli town of Caesarea on Saturday and fell into the garden, police said.
The decorators wove over 1,000 feet of shiny garlands — stretching nearly 2.8 football fields — and over 30,000 twinkling lights all around this former enclave of late 19th-century Italian ...
For example, let a denote a multiplicative generator of the group of units of F 4, the Galois field of order four (thus a and a + 1 are roots of x 2 + x + 1 over F 4. Because (a + 1) 2 = a, a + 1 is the unique solution of the quadratic equation x 2 + a = 0. On the other hand, the polynomial x 2 + ax + 1 is irreducible over F 4, but it splits ...