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The answer will depend on what the operation is and also whether the solutions are ordered sets (eg coordinates in 4-d space) or simply numbers.

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How many real solutions does -42 have?

None. -42 is a single integer, not an equation nor an inequality. So there are no solutions.


How many positive integer solutions are there to the equation x plus y plus z equals 17?

There are 120 solutions.


If an equation is an identity how many solutions does it have?

An identity equation has infinite solutions.


How many positive integer solutions does the equation 2x plus 3y equals 100 have?

This question cannot be answered because there are no operations defined, such as +, -, x, /, and = .


How many solutions do a equation have?

It will depend on the equation.


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.


How many solutions for x does the following equation have?

It has the following solutions.


How do you when an equation has infinitely many solutions?

You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.You may be able to give a formula that represents all the solutions. For example, the equation sin(x) = 0 where x is real, has infinitely many solutions but they can be summarised, very simply, as x = n*pi radians (180*n degrees) where n is any integer. Some solution sets are harder to summarise.


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 solutions will the equation 25 equals 2x squared 6x have?

The quadratic equation will have two solutions.


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.