Question

12√3 /x + 6 = x/12√3​

Answer 1

Step-by-step explanation:

$12 \sqrt{3 } \div x + 6 = x \div 12 \ \sqrt{3} \\ 12 \sqrt{3} \times 12 \sqrt{3} = x \times (x + 6) \\ 144 \times 3 = {x}^{2} + 6x \\ {x}^{2} + 6x - 432 = 0 \\ {x }^{2} + 24x - 18x - 432 = 0 \\ (x + 24)(x - 18) = 0 \\ (x + 24 )= 0 \: or \: (x - 18) = 0 \\ x = - 24 \: or \: x = 18$

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