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Distance Formula

3x 3 = x 2 +√...

Question

${3 x}^{3} = (x^{2} + \sqrt{18} x + \sqrt{32}) (x^{2} - \sqrt{18} x - \sqrt{32}) - {4 x}^{2}$ . Find the number of solutions.

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Solution

The solution has 2 real roots and 2 complex roots

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x^{2} + 18 x + 32

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