Solve each equation. See Examples 4–6. x - √(2x+3) = 0

Key Concepts

Isolating Variables

Isolating variables is a fundamental algebraic technique used to solve equations. It involves rearranging the equation to get the variable of interest on one side, allowing for easier manipulation. In the given equation, isolating 'x' will help in simplifying the expression and finding its value.

Square Roots

Understanding square roots is essential when dealing with equations that involve radical expressions. The square root of a number 'a' is a value 'b' such that b² = a. In the equation x - √(2x + 3) = 0, recognizing how to handle the square root will be crucial for solving for 'x' effectively.

Quadratic Equations

Quadratic equations are polynomial equations of the form ax² + bx + c = 0, where a, b, and c are constants. When manipulating the original equation, it may lead to a quadratic form, which can be solved using factoring, completing the square, or the quadratic formula. Familiarity with these methods is vital for finding the solutions.