SOLUTION: Can you please show me the steps of how to solve this equation using the Square Root Property 3x^2 = 8

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Can you please show me the steps of how to solve this equation using the Square Root Property 3x^2 = 8      Log On


   

Question 170111: Can you please show me the steps of how to solve this equation using the Square Root Property
3x^2 = 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

3x%5E2=8 Start with the given equation.


x%5E2=%288%29%2F%283%29 Divide both sides by 3.


x=0%2B-sqrt%288%2F3%29 Take the square root of both sides.


x=sqrt%288%2F3%29 or x=-sqrt%288%2F3%29 Break up the "plus/minus" to form two equations.


x=%282%2Asqrt%286%29%29%2F3 or x=-%282%2Asqrt%286%29%29%2F3 Simplify the square root.


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Answer:


So the solutions are x=%282%2Asqrt%286%29%29%2F3 or x=-%282%2Asqrt%286%29%29%2F3.