Math CentralQuandaries & Queries


Question from Lorrie, a student:

x^2/5 - 4/5 = -3/5x


When I look at the equation


the first thing I notice is all the fractions. I would rather not deal with fractions so I would like to eliminate them. Fortunately they all have a denominator of 5 to I can eliminate them by multiplying both sides of the equation by 5. This gives

x2 - 4 = -3 x

Now add 3x to each side to obtain

x2 +3 x - 4 = 0

Can you factor this and solve for x?


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