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Name Completing the Square HW Solve for x, in the simplest radical form, by completing the square: 1) x 2 ? 4 x ? 9 ? 0 2) x 2 ? 12 x ? ?5 3) x 2 ? 2 x ? 7 ? 0 4) x 2 ? 8x ? 4 ? 0 5) x 2 ? 24 x ?
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Identify the equation: The first step is to identify the equation where you need to solve for x. This could be a linear equation, a quadratic equation, or any other type of equation.
02
Arrange the equation: Make sure the equation is arranged in the standard form, with all terms on one side and the constant on the other side. For example, for a quadratic equation, it should be in the form ax^2 + bx + c = 0.
03
Apply the necessary steps: Depending on the type of equation, apply the appropriate steps to solve for x. For linear equations, you can isolate the variable by performing simplification operations like addition, subtraction, multiplication, or division on both sides. For quadratic equations, you can use factoring, completing the square, or the quadratic formula.
04
Solve for x: Once you have followed the necessary steps to isolate x, perform the calculations to find the solution(s) for x. This may involve simplifying fractions, taking square roots, or applying any other mathematical operations required.
05
Check your solution: After finding the value(s) for x, it is important to check if the solution is valid by substituting it back into the original equation. If both sides of the equation are equal, then the solution is correct.

Who needs solve for x in:

01
Students: Students studying algebra, calculus, or any branch of mathematics that involves solving equations often need to solve for x. It is a fundamental skill in mathematics and is used to find unknown values in various mathematical problems.
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Engineers: Engineers frequently encounter equations that involve solving for variables like x. Whether it's calculating the distance, time, or any other physical quantity, solving equations is essential in engineering to find the required values for different parameters.
03
Researchers: Researchers from various scientific fields often encounter equations where they need to solve for x. Whether it's analyzing data, modeling systems, or understanding complex phenomena, solving equations helps researchers determine the relationships between different variables and make meaningful conclusions.
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Solve for x in refers to finding the value of the variable x in an equation.
Anyone working with mathematical equations may need to solve for x.
To solve for x in an equation, you can use algebraic manipulation and solving techniques.
The purpose of solving for x in an equation is to find the value of the variable x that satisfies the equation.
The equation, the variable x, and the solution must be reported when solving for x.
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