Two Solutions for One Problem was created in 1975.
The duration of Two Solutions for One Problem is 240.0 seconds.
Yes, a linear programming problem can have exactly two optimal solutions. This will be the case as long as only two decision variables are used within the problem.
Two
No. However, a special subset of such problems: integer programming, can have two optimal solutions.
An SSA type has two possible solutions.
Two real roots.
Two equal roots
Yes, it can. For example, if you are solving a quadratic equation, the curve could cross the x-axis in more than one place, thus the equation would have two solutions, a cubic equatuion can have 3 solutions, an equation with a power of four in it can have four solutions, etcetera.
A solution is an answer that satisfies the conditions of the problem posed. For example 4 is the solution to 3+1, since 3+1=4. A problem may have more than one solution, or maybe zero solutions. The problem "When x squared equals 4, what values can x take?" Has two solutions, namely ±2. But the problem "What x gives 3x>9" has infinite solutions, just pick any number greater than 3. For the two equations x+y=1 and x+y=2 there is clearly an inconsistency, so there is no solutions for x and y.
No, a system of two linear equations cannot have exactly two solutions. In a two-dimensional space, two linear equations can either intersect at one point (one solution), be parallel (no solutions), or be the same line (infinitely many solutions). Therefore, it is impossible for a system of two linear equations to have exactly two solutions.
No. A quadratic may have two identical real solutions, two different real solutions, ortwo conjugate complex solutions (including pure imaginary).It can't have one real and one complex or imaginary solution.
It is a problem which has only one solution. For example, the square root of 4 has two solutions: -2 and +2. However, if the question is presented in the context of the length of a side of a square whose area is 4 units, then there can be only one answer: +2. There cannot be a negative length.