SOLUTION: find all solutions of the equation algebraically. 8x^4 - 18x^2 = 0

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Question 180698: find all solutions of the equation algebraically.
8x^4 - 18x^2 = 0
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

8x%5E4-18x%5E2=0 Start with the given equation


2x%5E2%284x%5E2-9%29=0 Factor out the GCF 2x%5E2


2x%5E2%282x%2B3%29%282x-3%29=0 Factor 4x%5E2-9 to get %282x%2B3%29%282x-3%29 (use the difference of squares)


Now set each factor equal to zero:

2x%5E2=0, 2x%2B3=0 or 2x-3=0


x=0, x=-3%2F2 or x=3%2F2 Now solve for x in each case


So the solutions are:

x=0, x=-3%2F2 or x=3%2F2