For Exercises 11-38, use the square root property to solve...

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Key Concepts

Linear Equation Solving

After applying the square root property, the resulting equations are usually linear. Solving these involves basic algebraic techniques such as isolating the variable by adding, subtracting, multiplying, or dividing both sides of the equation. This step converts the square root equation into explicit solutions for the variable.

Square Root Property

The square root property is a method used to solve equations that have the form (expression)^2 = constant. When applied, it involves taking the positive and negative square roots of both sides, which leads to two separate equations. This property is particularly effective when the squared term is isolated on one side of the equation.

Complex Numbers in Standard Form

When the constant in the square root property application is negative, the square root yields an imaginary number. In such cases, solutions are written in the form a ± bi, where a and b are real numbers and i is the imaginary unit. This standard form is essential for accurately representing complex numbers in algebra.

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