SOLUTION: Find all real solutions to each equation or inequality. For the inequalities, also sketch the graph of the solution set. 8x^3 -27=0

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Question 169340: Find all real solutions to each equation or inequality. For the
inequalities, also sketch the graph of the solution set.
8x^3 -27=0

Answer by gonzo(654)   (Show Source): You can put this solution on YOUR website!

add 27 to both sides of the equation:

divide both sides of equation by 8:

take cube root of both sides of equation:

which is the same as:

which becomes:

-----
original equation is:

substituting (3/2) for x in original equation gets:

which is the same as:

which becomes:

which becomes:

which becomes:

which is true proving that x = (3/2) is the correct answer.

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