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

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Key Concepts

Standard Form of Complex Solutions

Complex solutions are typically written in the form a ± bi, where 'a' represents the real part and 'bi' represents the imaginary part. This format standardizes the presentation of complex numbers and facilitates further calculations.

Complex Numbers

When an equation leads to taking the square root of a negative number, the solutions are expressed as complex numbers. Complex numbers have a real part and an imaginary part, with the imaginary unit i satisfying i² = -1.

Square Root Property

A method used to solve equations in which the variable appears as a square. Once the squaring term is isolated, the square root of both sides is taken, remembering to include both the positive and negative square roots as possible solutions.

Isolation of the Squared Term

Before applying the square root property, it is necessary to isolate the expression containing the squared variable on one side of the equation. This step ensures that the square root can be applied directly and correctly to the squared term.

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