Lesson OVERVIEW of my lessons on solving equations containing radicals

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OVERVIEW of my lessons on solving equations containing radicals


My lessons in this site on solving equations containing radicals are
    - HOW TO solve equations containing radicals
    - Advanced problems on solving equations containing radicals
    - Solving systems of equations containing radicals

Below are short annotations to these lessons


HOW TO solve equations containing radicals

      Problem 1.  Solve an equation  root%283%2C2x-3%29+=+3.

      Problem 2.  Solve an equation  sqrt%28x-1%29 + sqrt%282x%2B6%29 = 6.

      Problem 3.  Solve an equation   sqrt%2824-10x%29 = 3-4x,  where 3-4x > 0.

      Problem 4.  Solve an equation   4x+-+11%2Asqrt%28x%29+%2B+6 = 0.

      Problem 5.  Solve an equation   z%5E2-6z%2B9 = 4%2Asqrt%28z%5E2-6z%2B6%29.

      Problem 6.  Solve an equation  root%282%2F3%2Cx-2%29+-+root%281%2F3%2Cx-2%29+=+2.

Advanced problems on solving equations containing radicals

      Problem 1.  Solve an equation  sqrt%28x%29 + sqrt%281-x%29 + sqrt%28x%2A%281-x%29%29 = 1.

      Problem 2.  Solve an equation  sqrt%2810-x%29 + sqrt%283%2Bx%29 + 2%2Asqrt%2830%2B7x-x%5E2%29 = 17.

      Problem 3.  Solve an equation   %287+%2B+sqrt%28x%29%29%5E%281%2F3%29 + %287+-+sqrt%28x%29%29%5E%281%2F3%29 = 2.


Solving systems of equations containing radicals

      Problem 1.  Find  x  and  y   if   x%2By%2B+sqrt%28x%2By%29+=+20   and   x-y%2B+sqrt%28x-y%29+=+12.


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