Name: Date: Writing and Solving Radical Equations Objective In this lesson, you will write and solve radical equations in one variable and determine the validity of solutions algebraically and graphically Radical Equations with Square Roots Radical equation: an equation that contains at least one radical Radical notation: a method of representing roots that includes a radical symbol, the under the symbol, and the of the root above the symbol Remember these two steps specific to solving radical equations: the radical expression on one side of the equation. 2. Raise each side to the power suggested by the of the radical. To solve for x, first isolate the both sides to Finally, we need to check the expression on eliminate the radical, and solution in the original equation. one side of the equation by continue solving for x. 2 to both sides. (V2x + 3)2 - 72 V2x + 3 - 2 - 5 N x +3 =49 2x + 3 - 5+ 2x = 46 46 + 3 - 7 O Ed mangum Permission gran bed to copyfarclassroom we V2x + 3 - 7 x - 23 V49 -7 7 - 7 V The solution checks when we substitute it into the original radical equation. Therefore, x =_