Question

find the positive value of the variable for which the given equation is satisfied

Answer 1

$<b>Heya !$

Here's your answer !!

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$\bf \frac{3 \: - \: {x}^{2} }{8 \: + \: x} \: = \: \frac{ - 3}{4} \\ \\ = > \bf\: 4 \: ( \: 3 \: - \: {x }^{2}) \: \: = \: - 3 \: ( \: 8 \: + \: x \: ) \\ \\ = > \bf \: 12 \: - \: {4x}^{2} \: = \: - 24 \: - \: {3x}^{2} \\ \\ = > \bf - {3x}^{2} \: + \: {4x}^{2} \: = \: 12 \: + \: 24 \\ \\ = > \bf \: {x }^{2} \: = \: 36 \\ \\ = > \bf \: x \: = \: \sqrt{36} \\ \\ = > \bf \: x \: = \: 6 \: \: \: \: \: \: \: \: ans$


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Thanks !!

Answer 2

4 (3 - x^2) = -3 (8 + x^2)

12 - 4x^2. = -24 -3x^2

12 + 24 = 4x^2 - 3x^2

36. = x^2

x = 6

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