Math and Arithmetic

Algebra

Equator

111213

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.

It will depend on the equation.

It has the following solutions.

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

The quadratic equation will have two solutions.

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

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

There are two distinct real solutions.

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

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

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

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

The quadratic has no real solutions.

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

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

It has 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.

You can actually solve the equation. With some experience with equations, you will eventually know that equations of a certain form will have exactly one solution (for example, a linear equation); while a polynomial equation of degree 2 typically has 2 solutions, and certain types of trigonometric equations have infinitely many solutions (this is due to the periodicity of the trigonometric functions) - but there is really no simple or universal way to tell in advance how many solutions a given equation has.

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

Two distinct real solutions.

It will then have two equal real solutions

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.

0 = 0 is an identity and not an equation. Equations have solutions, identities do not.

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