Search results
Results from the WOW.Com Content Network
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.
In "twos in", binary quadratic forms are of the form ax 2 + 2bxy + cy 2, represented by the symmetric matrix This is the convention Gauss uses in Disquisitiones Arithmeticae. In "twos out", binary quadratic forms are of the form ax 2 + bxy + cy 2 , represented by the symmetric matrix ( a b / 2 b / 2 c ) . {\displaystyle {\begin{pmatrix}a&b/2\\b ...
If two primes which end in 3 or 7 and surpass by 3 a multiple of 4 are multiplied, then their product will be composed of a square and the quintuple of another square. In other words, if p, q are of the form 20k + 3 or 20k + 7, then pq = x 2 + 5y 2. Euler later extended this to the conjecture that
This corresponds to a set of y values whose product is a square number, i.e. one whose factorization has only even exponents. The products of x and y values together form a congruence of squares. This is a classic system of linear equations problem, and can be efficiently solved using Gaussian elimination as soon as the number of rows exceeds ...
The solution set for the equations x − y = −1 and 3x + y = 9 is the single point (2, 3). A solution of a linear system is an assignment of values to the variables ,, …, such that each of the equations is satisfied. The set of all possible solutions is called the solution set. [5]
The election results helped deliver the stock market's best monthly gain of the year, with the Dow Jones and S&P 500 rising 7.5% and 5.7%, respectively in November.
In elementary algebra, the binomial theorem (or binomial expansion) describes the algebraic expansion of powers of a binomial.According to the theorem, the power (+) expands into a polynomial with terms of the form , where the exponents and are nonnegative integers satisfying + = and the coefficient of each term is a specific positive integer ...
The National Highway Traffic Safety Administration has opened an investigation into over 1.4 million Honda and Acura vehicles after complaints that some of them experienced engine failures.. The ...