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Question 261336: x = 3/x + 1/2
Answer by kidscomefirst(1)   (Show Source):
You can put this solution on YOUR website! Original problem: x = 3/x + 1/2
1. Start my multiplying both sides by x to get this equation in the form of a quadratic.
x^2 = 3 + 1/2*x
2. Then multiply both sides by 2 to eliminate the fraction. Will make factoring the quadratic easier in the end.
2x^2 = 6 + x
3. Move all of the terms on one side of the equation so that the quadractic equation is set to zero.
2x^2 - x - 6 = 0
4. Use the FOIL method to factor this quadratic equation.
(2x + 3)(x - 2) = 0
5. To find your possible solutions (there are two since this is a quadratic equation), set each factor equal to zero and solve for x.
2x + 3 = 0 ===> x = -3/2
x - 2 = 0 ===> x = 2
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