Question

3a - 9/2 equals to 1/3a + 5​

Answer 1

Answer:

$3x - \frac{9}{2} = \frac{1}{3x} + 5 \\ 3x - \frac{1}{3x} = 5 + \frac{9}{2} \\ \frac{9 {x}^{2} - 1}{3x} = \frac{10 + 9}{2} \\ \frac{9x {}^{2} - 1}{3x} = \frac{19}{2} \\ 18 {x}^{2} - 2 = 57x \\ 18 {x}^{2} - 57x - 2 = 0$

a =x

Answer 2

Answer:

$= > 3a - \frac{9}{2} = \frac{1}{3} a + 5 \\ \\ = > (3a \times \frac{2}{2} ) - \frac{9}{2} = \frac{1}{3}a + (5 \times \frac{3}{3} ) \\ \\ = > \frac{6}{2} a - \frac{9}{2} = \frac{1}{3} a + \frac{15}{3} \\ \\ = > \frac{(6a - 9)}{2} = \frac{(a + 15)}{3} \\ \\ = > 3(6a - 9) = 2(a + 15) \\ \\ = > 18a - 27 = 2a + 30 \\ \\ = > 18a - 2a = 30 + 27 \\ \\ = > 16a = 57 \\ \\ = > a = \frac{57}{16} \\ \\ = > a = 3.5625$