sqrt 2x 1 sqrt x 5 3 1 Start by moving x 5 to the right side of the equation 2x 1 x 5 3 2x 1 3 x 5 2 Since both sides contain radical signs square both sides 2x 1 2 3 x 5 2 2x 1 2x 1 3 x 5 3 x 5 3
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sqrt 2x 1 sqrt x 5 3
sqrt 2x 1 sqrt x 5 3
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Sqrt 2x 1 sqrt x 1 5 One solution was found x 5 Radical Equation entered 2x 1 x 1 5 Step by step solution Step 1 Isolate a square root on the left 1 Isolate the square roots on one side of the equation 2 x 1 x 5 3 sqrt 2x 1 sqrt x 5 3 2 x 1 x 5 3 2 Square both sides of the equation to eliminate the square roots
Free Square Root calculator Find square roots of any number step by step Sqrt 2x 1 3 One solution was found x 5 Radical Equation entered 2x 1 3 Step by step solution Step 1 Isolate the square root on the left hand side
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Simplify the equations leaving the square root on one sided x 2 6 x 2 Square each side x 2 x 2 36 x 2 Divide each side by x 2 x 2 36 so x 38 All ways check you answer in the original problem 2x 5 x 2 3 This equation has 2 solutions x 1 4 2sqrt 2 and x 2 4 2sqrt 2 In the equation there is a square root so first you have to calculate the domain In this case the experssion under root sign is 2x 1 so you have the domain 2x 1 0 or x 1 2 Now we can calculate the solutions
Tiger solves Your Radical Equations shows complete work sqrt 2x 1 sqrt x 5 3 so that you understand better XXX8x2 12x 4 729 162x x2 Simplifying into standard quadratic form XXXx2 150x 725 Factoring or use the quadratic formula if the factors are not apparent XXX x 5 x 145 0 Giving possible solutions XXXx 5XX and XXx 145 Substituting back into the original equation 1 XXXx 5
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sqrt 2x 1 sqrt x 5 3 - Example solve sqrt 2x 5 sqrt x 1 1 Isolate one of the square roots sqrt 2x 5 1 sqrt x 1 Square both sides 2x 5 1 sqrt x 1 2