Tutorial on how to solve equations containing cube roots. Detailed solutions to examples, explanations and exercises are included.
The idea behind solving equations containing square roots is to raise to power 3 in order to clear the cube root using the property
Example 1 : Find all real solutions to the equation
Solution to Example 1:
Example 2 : Find all real solutions to the equation
Solution to Example 2:
Exercises:(answers further down the page)
Solve the following equations
1. cube_root( x ) - 4 x = 0
2. cube_root( x 2 + 2 x + 61 ) = 4
Solutions to above exercises
1. x = 0 , x = 1 / 8 , x = - 1 / 8
2. x = 1 , x = -3
More references and links on how to Solve Equations, Systems of Equations and Inequalities.
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