Solve each equation. √x+2-x = 2

Key Concepts

Square Roots

Square roots are the values that, when multiplied by themselves, yield the original number. In the equation √x, the square root function is applied to x, which means we are looking for a number that, when squared, equals x. Understanding how to manipulate square roots is essential for solving equations involving them.

Isolating Variables

Isolating variables is a fundamental algebraic technique used to solve equations. This involves rearranging the equation to get the variable of interest on one side and all other terms on the opposite side. Mastering this concept allows students to simplify complex equations and find the value of the unknown variable.

Squaring Both Sides

Squaring both sides of an equation is a method used to eliminate square roots. When both sides of an equation are squared, it can simplify the equation, making it easier to solve. However, it is important to check for extraneous solutions, as squaring can introduce solutions that do not satisfy the original equation.