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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.
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
Depending on the context, solving an equation may consist to find either any solution (finding a single solution is enough), all solutions, or a solution that satisfies further properties, such as belonging to a given interval. When the task is to find the solution that is the best under some criterion, this is an optimization problem. Solving ...
In mathematics, a quadratic equation (from Latin quadratus 'square') is an equation that can be rearranged in standard form as [1] + + =, where the variable x represents an unknown number, and a, b, and c represent known numbers, where a ≠ 0. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic
By the fundamental theorem of algebra, if the monic polynomial equation x 2 + bx + c = 0 has complex coefficients, it must have two (not necessarily distinct) complex roots. Unfortunately, the discriminant b 2 − 4c is not as useful in this situation, because it may be a complex number. Still, a modified version of the general theorem can be ...
Lando Norris got McLaren the constructor’s championship. Norris won Sunday’s Abu Dhabi Grand Prix from the pole position ahead of Ferrari’s Carlos Sainz and Charles Leclerc.
With the loss, Georgia concludes its season with an 11-3 record. Meanwhile, Notre Dame now advances to the CFP Orange Bowl semifinals against No. 6 Penn State on Thursday, Jan. 9 at Hard Rock Stadium.
N ≡ R 1 (mod a) and N ≡ R 2 (mod b). Letting the integer to be found to be N, the divisors be a and b, and the remainders be R 1 and R 2, the problem is to find N such that there are integers x and y such that; N = ax + R 1 and N = by + R 2. This is equivalent to ax − by = c where c = R 2 − R 1. Find an integer such that its product ...
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