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In general, you cannot: it all depends on the domain.
x + 2 = 0 has no solutions is the set of positive integers but does have one if the domain is the integers.
2x - 3 = 0 has no solutions if the domain is integers, but there is one solution if the domain is the rationals.
x2 - 2 = 0 has no solutions if the domain is the rationals but there are two solutions if the domain is the reals.
x2 + 2 = 0 has no solutions if the domain is the reals but there are two solutions if the domain is the complex numbers.
Cos(x) = 1 has no solutions if the domain is (0, 360) but two solutions for the domain [0, 360].
The number of solutions for an equation can be determined by analyzing the degree of the equation and its graphical representation. For a linear equation, there is either one solution (if the lines intersect) or no solution (if the lines are parallel). Quadratic equations can have two solutions, one solution, or no real solution, depending on the discriminant. Higher degree equations can have multiple solutions or no solutions depending on the nature of the equation.
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Can a graph be used to determine the number of solutions an equation has?
Yes.
How do you determine the number of solutions of an equation?
the maximum number of solutions to an euation is equal to the highest power expressed in the equation. 2x^2=whatever will have 2 answers
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.
Using the discriminant determine the number and type of solutions for this equation?
There are an indeterminate number of invisible solutions.
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.
What is the discriminant to determine how many real number solutions the quadratic equation -4j2 plus 3j-28 equals 0 has?
The discriminant is -439 and so there are no real solutions.
Use the T table to determine 3 solutions to this equation 4x - 2y equals 8?
using the t-table determine 3 solutions to this equation: y equals 2x
How can a graph be used to determine how many solutions an equation has?
Count the number of many times the graph intersects the x-axis. Each crossing point is a root of the equation.
You can determine by the discriminant whether the solutions to the equation are real or numbers?
imaginary
Explain how to identify whether an equation has no solution or infinitely many solutions?
An equation can be determine to have no solution or infinitely many solutions by using the square rule.
Why does the discriminant determine the number and type of the solutions for a quadratic equation?
A quadratic equation is wholly defined by its coefficients. The solutions or roots of the quadratic can, therefore, be determined by a function of these coefficients - and this function called the quadratic formula. Within this function, there is one part that specifically determines the number and types of solutions it is therefore called the discriminant: it discriminates between the different types of solutions.
You can determine by the discriminant whether the solutions to the equation are or complex numbers?
apex- real
