Question

plz answer the question in factorization method .question( iv)​

Answer 1

Step-by-step explanation:

$\frac{5 + x}{5 - x} - \frac{5 - x}{5 + x} = \frac{15}{4} \\ = > \frac{( {5 + x)}^{2} - ( {5 - x)}^{2} }{(5 + x)(5 - x)} = \frac{15}{4} \\ = > \frac{25 + 10x + {x}^{2} - 25 + 10x - {x}^{2} }{25 - {x}^{2} } = \frac{15}{4} \\ = > \frac{20x}{25 - {x}^{2} } = \frac{15}{4} \\ = > 4 \times 4x = 3(25 - {x}^{2} ) \\ = > 16x = 75 - 3{x}^{2} \\ = > 3{x}^{2} + 16x - 75 = 0 \\ = > 3 {x }^{2} + 25x - 9x - 75 = 0 \\ = > x(3x + 25) - 3(3x + 25) = 0 \\ = > (3x + 25)(x - 3) = 0 \\ \\ x = 3 \: \: or \: \: \: \: x = - \frac{25}{3}$

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