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What does it mean if an equation is simplified to 0 0 do all problems have exactly one solution?
An equation that is simplified to 0 0 is called a perfect equation. It usually have exactly one solution.
If the discriminant of an equation is zero then?
The term "discriminant" is usually used for quadratic equations. If the discriminant is zero, then the equation has exactly one solution.
What is the meaning one solution in math?
In mathematics, a "solution" refers to a value or set of values that satisfies an equation or a problem. For example, in the equation (x + 3 = 7), the solution is (x = 4), as it makes the equation true. When a problem has one solution, it means there is exactly one distinct value that meets the criteria specified by the equation or inequality.
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
Does the equation 4x-3 equals 12 plus 2x has exactly one solution?
Yes, because the equation is linear, there is only one solution:4x - 3 = 12 +2x4x - 2x = 12 + 32x = 15x = 7.5There is no other solution
What does it mean to be a solution of an equation?
the solution is the answer to the equation. A solution is any value that makes the equation true. x + 2 = 10 has exactly one solution ....x=8 x + 2 > 10 has infinitely many solutions....x=9 or 10 or 11 or 12 or 13, etc
What is a one solution in math?
In mathematics, a "one solution" refers to a situation where a mathematical equation or problem has exactly one unique solution. This means that there is a specific value or set of values that satisfies the equation without ambiguity. For example, the equation (x + 2 = 5) has the one solution (x = 3). Such situations often arise in linear equations, where the graph represents a straight line intersecting the axis at a single point.
If the discriminant equals zero the equation has solution(s).?
If the discriminant of a quadratic equation equals zero, it indicates that the equation has exactly one real solution, also known as a repeated or double root. This occurs because the quadratic touches the x-axis at a single point, rather than crossing it. Mathematically, this means that the two roots are the same, resulting in one unique solution for the equation.
It is impossible for a system of two linear equations to have exactly one solution. True or False?
False, think of each linear equation as the graph of the line. Then the unique solution (one solution) would be the intersection of the two lines.
Can a pair of linear equation have exactly two solutions?
No. A pair of linear equation can have 0 solutions (they are parallel), or one solution (they cross at one point) or an infinite number of solutions (they represent the same line).
Does an equation has a solution?
Yes and sometimes it can have more than one solution.
How many many solutions does the system x equals 8 have?
X = 8That equation has exactly one solution.The solution is:x = 8
