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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]
A polynomial has a square root if and only if all exponents of the square-free decomposition are even. In this case, a square root is obtained by dividing these exponents by 2. Thus the problem of deciding if a polynomial has a square root, and of computing it if it exists, is a special case of square-free factorization.
For example, to solve a system of n equations for n unknowns by performing row operations on the matrix until it is in echelon form, and then solving for each unknown in reverse order, requires n(n + 1)/2 divisions, (2n 3 + 3n 2 − 5n)/6 multiplications, and (2n 3 + 3n 2 − 5n)/6 subtractions, [9] for a total of approximately 2n 3 /3 operations.
Since x 2 represents the area of a square with side of length x, and bx represents the area of a rectangle with sides b and x, the process of completing the square can be viewed as visual manipulation of rectangles. Simple attempts to combine the x 2 and the bx rectangles into a larger square
California Gov. Gavin Newsom said the state will provide rebates to residents if President-elect Donald Trump's incoming administration does away with a federal tax credit for electric vehicles.
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 78 games, he averaged 10.8 points, 4.5 rebounds and 1.3 assists per game — good enough to see him finish third in rookie of the year voting and make the NBA All-Rookie First Team.
The U.S. House of Representatives is expected to consider on Thursday what to do with a report on alleged sexual misconduct and drug use by ex-congressman Matt Gaetz, who has dropped his bid to ...