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Q: If an equation has a degree of three how many solutions will there be?

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Depends on degree of highest term. a^3 + bX^2 + cX + d = 0 has three solutions. And so on. Finding them is another matter.

An identity equation has infinite solutions.

If the discriminant of a quadratic equation is less then 0 then it will have no real solutions.

It will depend on the equation.

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 the equation have? 4x+1=5+2(2-4) a. one solution b. infinite solutions c. no solution

The quadratic equation will have two solutions.

It has the following solutions.

They each typically have two solutions, a positive one and a negative one.

An equation can be determine to have no solution or infinitely many solutions by using the square rule.

you can find it by counting how many numbers they are in the equation

There are two distinct real solutions.

Infinitely many

if a dependent system of equation is solved, how many solutions will there be?

the maximum number of solutions to a quadratic equation is 2. However, usually there is only 1.

A single linear equation in two variables has infinitely many solutions. Two linear equations in two variables will usually have a single solution - but it is also possible that they have no solution, or infinitely many 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.

2

240 is not an equation and so the concept of solutions is meaningless.

The quadratic has no real solutions.

It has infinitely many solutions.

No. If an equation has many solutions, any one of them will satisfy it.

A quadratic equation can have either two real solutions or no real solutions.

It will then have two equal real solutions

Two distinct real solutions.