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Which pairs are solutions to the equation?
That depends on the equation.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
The solutions of an equation are often called what?
The roots of the equation
How do you know when an equation has an infinite amount of solutions?
If the equation is an identity.
If an equation is an identity how many solutions does it have?
An identity equation has infinite solutions.
How many solutions does the equation have?
The number of solutions an equation has depends on the nature of the equation. A linear equation typically has one solution, a quadratic equation can have two solutions, and a cubic equation can have three solutions. However, equations can also have no solution or an infinite number of solutions depending on the specific values and relationships within the equation. It is important to analyze the equation and its characteristics to determine the number of solutions accurately.
If an equation has a degree of three how many solutions will there be?
An equation with a degree of three typically has three solutions. However, it is possible for one or more of those solutions to be repeated or complex.
If the discriminant of a quadratic equation is -4 how many solutions does the equation have?
If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.
Which pairs are solutions to the equation?
That depends on the equation.
How many solutions do a equation have?
It will depend on the equation.
How can you determine whether a polynomial equation has imaginary solutions?
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
How many solutions will the equation 25 equals 2x squared 6x have?
The quadratic equation will have two solutions.
The solutions of an equation are often called what?
The roots of the equation
How many solutions for x does the following equation have?
It has the following solutions.
What is an equation that have the same solutions?
Simultaneous equations have the same solutions.
