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Can anyone help me solving the equation....within 5 min ...​

Answer»

\fbox{Solution\:of\:17}

\frac{1}{x + 6} + \frac{1}{x - 10} = \frac{3}{x - 4} \\ = > \frac{1 + 1}{x + 6 + x - 10} = \frac{3}{x - 4} \\ = > \frac{2}{2x - 4} = \frac{3}{x - 4} \\ = > 2(x - 4) = 3(2x - 4) \\ = > 2x - 8 = 6x - 12 \\ = > 2x - 6x = - 12 + 8 \\ = > - 4x = - 4 \\ = > x = \frac{ - 4}{ - 4} \\ = > x = 1

\fbox{Solution\:of\:18}

\sqrt{3x + 4} = x \\ = > \frac{1}{2} (3x + 4) = x \\ = > 3x \times \frac{1}{2} + 4 \times \frac{1}{2} = x \\ = > \frac{3x}{2} + 2 = x \\ = > \frac{3x + 4}{2} = x \\ = > 3x + 4 = 2x \\ = > 4 = 2x - 3x \\ = > - x = 4 \\ = > x = - 4


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