16Hit1600
Advanced MathVery hardPositive solution of a rational equation with two fractions

Advanced Math practice question

What is the positive solution of 1/x + 1/(x + 1) = 3/2?

Answer: 1

Multiplying by 2x(x + 1): 2(x + 1) + 2x = 3x(x + 1), so 3x² − x − 2 = 0 and (3x + 2)(x − 1) = 0. The positive solution is 1.

Common wrong answers

If you answered 2
2 gives 1/2 + 1/3 = 5/6.
If you answered -0.67
−2/3 is the negative solution.
If you answered 0.5
0.5 gives 2 + 2/3.

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