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What else can I help you with?
How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
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.
Is it possible for a quadratic equation to have only one solution?
No, it must have two answers.
If the discriminant of an equation is zero then what is true about the equation?
If the discriminant of a quadratic equation is zero, it indicates that the equation has exactly one real solution, also known as a double root. This means the parabola represented by the quadratic touches the x-axis at a single point rather than crossing it. In other words, the vertex of the parabola lies on the x-axis.
Why the quadratic equation has only one distinct solution?
A quadratic equation has only one distinct solution when its discriminant (the part of the equation under the square root in the quadratic formula) is zero. This occurs when the equation can be expressed in the form ( (x - r)^2 = 0 ), where ( r ) is the repeated root. In this case, the parabola touches the x-axis at a single point, indicating that there is only one unique solution. Thus, the equation has a double root, rather than two distinct solutions.
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.
How do you know if a quadratic equation will have one two or no solutions How do you find a quadratic equation if you are only given the solution Is it possible to have different quadratic equation?
Draw the graph of the equation. the solution is/are the points where the line cuts the x(horisontal) axis .
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.
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real solution.
Is it possible for a quadratic equation to have only one solution?
No, it must have two answers.
Why are there usually two solutions to a quadratic equation?
In the graph of a quadratic equation, the plotted points form a parabola. This parabola usually intersects the X axis at two different points. Those two points are also the two solutions for the quadratic equation. Alternatively: Quadratic equations are formed by multiplying two linear equations together. Each of the linear equations has one solution - multiplying two together means that the solution for either is also a solution for the quadratic equation - hence you get two possible solutions for the quadratic unless both linear equations have exactly the same solution. Example: Two linear equations : x - a = 0 x - b = 0 Multiplied together: (x - a) ( x - b ) = 0 Either a or b is a solution to this quadratic equation. Hence most often you have two solutions but never more than two and always at least one solution.
If the discriminant of an equation is zero then what is true about the equation?
If the discriminant of a quadratic equation is zero, it indicates that the equation has exactly one real solution, also known as a double root. This means the parabola represented by the quadratic touches the x-axis at a single point rather than crossing it. In other words, the vertex of the parabola lies on the x-axis.
Why the quadratic equation has only one distinct solution?
A quadratic equation has only one distinct solution when its discriminant (the part of the equation under the square root in the quadratic formula) is zero. This occurs when the equation can be expressed in the form ( (x - r)^2 = 0 ), where ( r ) is the repeated root. In this case, the parabola touches the x-axis at a single point, indicating that there is only one unique solution. Thus, the equation has a double root, rather than two distinct solutions.
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.
Does the equation 7x-56x 3 have exactly one solution?
It has no solution because without an equality sign it is not an equation.
How you find the solution of a quadratic equation by graphing its quadratic equation?
When you graph the quadratic equation, you have three possibilities... 1. The graph touches x-axis once. Then that quadratic equation only has one solution and you find it by finding the x-intercept. 2. The graph touches x-axis twice. Then that quadratic equation has two solutions and you also find it by finding the x-intercept 3. The graph doesn't touch the x-axis at all. Then that quadratic equation has no solutions. If you really want to find the solutions, you'll have to go to imaginary solutions, where the solutions include negative square roots.
How can you have one solution in something that is quadratic?
b^2 - 4ac, the discriminant will tell you that a quadratic equation may have one real solution( discriminant = 0 ) , two real solutions( discriminant > 0 ), or no real solutions( discriminant < 0 ).
