Solve for X Calculator

This free "Solve for x Calculator" is used to find the value of the unknown variable (x) in an equation without doing manual steps. When solving the polynomials you need to solve with respect to the values of the “X”. If you are solving polynomials w.r.t to other variables like Y, Z, etc.

There would not be any result shown by the solving for x calculator. You will receive an error message on the output window. Solving for x calculator only works when you are adding the polynomials having the values of “X”.

The Value of “X” for Linear Equation:

The linear equation involves only one variable whose highest power is “1” which is known as a linear equation due to power one. The roots of the linear equation are the solution of the linear equation. The linear equation can be solved with the solve for x calculator. If you are facing any difficulty in how to solve for x of the linear equation. Then look at example below:

Examples of the Linear Equation:

x + 4 = 19
x + 13 = 27
11x + 5 = 6

Solution of Linear Equations:

11x + 5 = 6

Then take constant on right side

11x = 6 - 5

Subtraction of constants provides us:

11x = 1

Then we get the linear equation root.

x = 1/11 ( Root of the linear equation)

When using the solving for x calculator we are able to find the roots in a couple of seconds:

Value “X” for Quadratic Equation:

The roots can be real or complex especially when you are solving the quadratic equation. There can be three possibilities of the roots of the quadratic equation ax2 + bx + c = 0 for x where a ≠ 0. The quadratic formula calculator is convenient to produce a quadratic equation by inserting the coefficient values:

Examples of Quadratic Equations:

x² + 6x + 9 = 0 (one real root)
x² + 6x + 9 = 2 (two real roots)
x² + 6x + 9 = -2 (two complex roots)

Discriminant of Quadratic Equation:

Let's use the discriminant (b2-4ac) of the quadratic formula. The discriminant (b2-4ac) of the quadratic formula represents the real or the complex roots of the quadratic equation.

Calculator that solves for x values may face the following possibilities of the discriminant. The discriminant may be less than, greater than, or equal to 0. If you're finding any issue in the implementation of discriminants then it can be great to insert values into the discriminant calculator.

The three possibilities are:

b²-4ac = 0 There is one real root
b²-4ac > 0 There are two real roots
b²-4ac < 0 There are two complex roots

Quadratic Formula:

\( x = \dfrac{ -b \pm \sqrt{b^2 – 4ac}}{ 2a } \)

Where (b2-4ac) is the discriminant of the quadratic equation ax2 + bx + c = 0 and “a”, “b” and “c” are coefficients of the quadratic equation. Find the x calculator only finding the value of the algebraic expression if we are using “X” as a variable.

Solution of Quadratic Equations:

x² + 6x + 9 = 0

Now the roots are real, we are solving the quadratic equation by factoring in the equation. The

x² + 3x + 3x + 9 = 0

By taking common terms, we have vggf

x (x + 3) + 3 (x+3)

(x+3) (x+3)

Then we get the roots of the quadratic equation:

x = -3 ( The root of the quadratic equation)

Checking the Roots Nature by Discriminant:

When we are putting the values of the coefficients in the discriminant of the quadratic formula we get

The discriminates is b² - 4ac = 0

The values of the coefficient from the x² + 6x + 9 = 0,

Here a = 1, b = 3, c = 9

The discriminates is b² - 4ac = 0

Putting (6)² - 4(1)(9) = 0

we get : 36 - 36 = 0

then the discriminant is b² - 4ac = 0

We know that when b² - 4ac = 0

Then there is one real root.It is convenient to use the solve for x calculator with steps to elaborate on all the steps.

How Does This Tool Work?

The working pattern is elaborated by the following steps:

Input:

Insert Linear or Quadratic equation in the menu.
Add values on both sides of the equation.

Output:

The solve calculator for "X" is just too quick to find the solution for any polynomials:

Roots are displayed.
Roots can be real, or complex

It is easy to use the solve for x calculator as it is the most interactive online tool.

FAQs

What is the value of x in the algebraic expression?

X is an algebraic variable that has no defined value. It can be convenient to solve values of x by the solve x calculator.

What is the golden rule of algebra?

Remember the algebraic golden rule: What you do to one side of the equation, you must do to the other side. That's how the equation stays equal! The value of x calculator automatically balances the equation on both sides.

How do we solve quadratic equations in place of factoring and quadratic formula?

It is the Completing Square method.In this method we use the completing square to find the roots of the quadratic equation. It is most efficient to find the solution of the quadratic equation by this tool.

Conclusion

Finding values of the polynomials with respect to variable x is essential in Mathematics. Value of x calculator helps to solve the polynomials in the most efficient and convenient way. It can be a great asset for the students and also for the basic algebraic learners.

References

From the source of WikiHow: How to Solve for X, How to Solve for X, Check your work
From the source of Wikipedia: Quadratic Equation, Solving the quadratic equation, Reduced quadratic equation
From the source of mocomi.com: Definition of equation, Linear and Quadratic Equations, Quadratic equations