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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 .
Is it possible for a quadratic equation to have only one solution?
No, it must have two answers.
What is the solution of rational equations reducible to quadratic?
They are the solutions for the reduced quadratic.
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
Does a quadratic equation always have two solutions?
A quadratic equation can have two solutions, one solution, or no real solutions, depending on its discriminant (the part of the quadratic formula under the square root). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is exactly one real solution (a repeated root); and if it is negative, there are no real solutions, only complex ones. Thus, a quadratic equation does not always have two solutions.
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 .
Is it possible for a quadratic equation to have only one solution?
No, it must have two answers.
What is the solution of rational equations reducible to quadratic?
They are the solutions for the reduced quadratic.
If the discriminant of a quadratic equation equals zero what is true of the equation?
It has one real 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.
Does a quadratic equation has exactly one solution?
Normally it has two solutions but sometimes the solutions can be the same.
Does a quadratic equation always have two solutions?
A quadratic equation can have two solutions, one solution, or no real solutions, depending on its discriminant (the part of the quadratic formula under the square root). If the discriminant is positive, there are two distinct real solutions; if it is zero, there is exactly one real solution (a repeated root); and if it is negative, there are no real solutions, only complex ones. Thus, a quadratic equation does not always have two solutions.
What is the solution of a quadratic equation called?
Sum
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.
What is the solution to the math problem involving the keyword "quadratic equation"?
The solution to a math problem involving a quadratic equation is the values of the variable that make the equation true, typically found using the quadratic formula or factoring.
What does it mean for a quadratic to have one solution?
Every quadratic equation has two solutions. If the quadratic expression that's equal to zero is a perfect square, then the two solutions are equal, and they look like one solution. Example: x2 - 6x + 9 = 0 (x - 3)(x - 3) = (x - 3)2 = 0 x = 3 and x = 3.
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.
