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How can you tell when an equation in one variable has infinitely many solutions or no solutions?
There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
How many total solutions are there to any quadratic equation?
2
Is it possible for an equation to have many solutions and can an equation have no solutions?
Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution.
What are some solutions to the equation 25x2-100 equals 0?
How many are you expecting ? How will you know if we give you all of them,or only some of them ?Since the highest power of the variable in the equation is '2', ("x2"),the equation has exactly two solutions.25x2 - 100 = 0Divide each side by 25:x2 - 4 = 0Add 4 to each side:x2 = 4Take the square root of each side:x = +4 and -4And there are your two solutions.
How do you find several solutions of an equation in 2 variables?
-- Pick a number out of a hat or a telephone book, or ask the person standing next to you to give you a number. -- Assign that number to one of the variables. -- Solve the equation for the other variable. -- This gives you one "ordered pair" solution of the equation. -- Repeat, as many times as you want. You will never run out of solutions, and you will never find all of them, as there are an infinite number of them.
How can you tell when an equation in one variable has infinitely many solutions or no solutions?
There is no simple method. The answer depends partly on the variable's domain. For example, 2x = 3 has no solution is x must be an integer, or y^2 = -9 has no solution if y must be a real number but if it can be a complex number, it has 2 solutions.
How many solutions does an equation have when tthe variable adds out and the final sentence is false?
2(2x-1)+2x=6(x-1)
How many solutions to a quadratic equation?
2
If the discriminant is positive how many solutions does the equation have?
2
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.
How many total solutions are there to any quadratic equation?
2
How many solutions are there to the equation below 3x - 10(x plus 2) 13 - 7x?
There are infinitely many solutions to the equation since it simplifies to 13 = 13, which is always true.
What is an equation that is not true for any value of the variable?
It is an equation with no solutions [in the given domain]. There may (or may not) be solutions if you change the domain.For example, if X is an integer, then 5X = 2 has no solution. But if you change the domain to rational numbers, then X = 2/5 or 0.4 is a solution.
In general how many distinct solutions are there to a quadratic equation?
the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.
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.
Is it possible for an equation to have many solutions and can an equation have no solutions?
Yes and yes. eg x = y + 1 has an infinite number of solutions, and {sin(x) + cos(x) = 2} does not have a solution.
How do you find all real solutions to the system of equations 4x 2 plus y 2 equals 100 and 4x 2 minus y 2 equals 62?
Add the two equations together. This will give you a single equation in one variable. Solve this - it should give you two solutions. Then replace the corresponding variable for each of the solutions in any of the original equations.
