Question

$\frac{1}{2}(x + 3) - \frac{2}{5} (x - 3) = x + 9$
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Answer 1

Step-by-step explanation:

The roots of the quadratic equation (4/x) - 3 = 5/(2x + 3) are 1 and - 2 .

Step-by-step explanation :

Given - (4/x) - 3 = 5/(2x + 3)

⇒ [4 - 3x] /x = 5/(2x + 3)

By taking the LCM -

⇒ (4 - 3x) (2x + 3) = 5x

⇒ 8x +12 - 6x² - 9x = 5x

⇒ -6x² + 8x - 9x - 5x +12 = 0

⇒ -6x² - 6x + 12 = 0

⇒ -6(x² + x - 2) = 0

⇒ x² + x - 2 = 0

⇒ x² + 2x - x - 2 = 0

⇒ x(x + 2) - 1(x + 2) = 0

⇒ (x -1) (x + 2) = 0

⇒ x - 1 = 0 OR x + 2 = 0

⇒ x = 1 OR x = -2