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Solving Radical Equations X The simplest kind of radical equation is one like this x 5 To solve it, you need only square both sides of the equation. ( x ) (5) 2 x 25 2 Of course, most radical equations are not that simple. Usually there are several terms on each side. So the first step in solving a radical equation is to get it in a form similar to the first problem we looked at; that is, get the radical alone on one side of the equation. Then square both sides of the equation and solve the resulting equation. Example 2 2 x 1 34 2 x 1 32 x 1 16 ( x 1) 16 2 Divide both sides by 2. 2 x 1 256 x 255 Subtract 2 from each side. Square both sides Subtract 1 Let’s practice a few. Solve: 1.) x 9 2.)2 x 9 3.)3 2 x 9 Check your answers. Solve 1.) x 9 X=81 2.)2 x 9 X=49 3.)3 2 x 9 X=9 Apply your understanding Solve Find a number such that the square root of 3 less than twice the number is equal to 3. (write the equation and then solve it) Check your answer. Write an equation 2x 3 3 2x 3 9 2x 12 x6 Square both sides Add 3 to both sides Divide both sides by 2