Solve:
Show answer & explanation
Correct answer: B
Explanation
Given:
x/(x + 1) + 1/x = 3
According to the formula:
LCM = x(x + 1)
x/(x + 1) + 1/x = 3
[x² + (x + 1)] / [x(x + 1)] = 3
x² + x + 1 = 3x(x + 1)
x² + x + 1 = 3x² + 3x
0 = 3x² + 3x − x² − x − 1
0 = 2x² + 2x − 1
2x² + 2x − 1 = 0
x = (-2 ± √(4 + 8)) / 4
x = (-2 ± √12) / 4
x = (-2 ± 2√3) / 4
x = (-1 ± √3) / 2