Solve the following equations.(i) x2 + 12x -203x - 5 = x2 + 8x + 122x + 3(ii) 10x2 + 15x + 635x2 - 25x + 12= 2x + 3x - 5 (iii) 2x + 12 + 2x - 122x + 12 - 2x - 12= 178(iv) 4x + 1 + x + 34x + 1 -x + 3= 41(v) 4x + 1 2 + 2x + 324x2 + 12x + 9= 6136(vi) 3x - 4 3 - x + 1 33x - 4 3 + x + 1 3 = 61189

Solve the following equations.(i) x2 + 12x -203x - 5 = x2 + 8x + 122x

1.	Solve the following equations.(i) x2 + 12x -203x - 5 = x2 + 8x + 122x + 3(ii) 10x2 + 15x + 635x2 - 25x + 12= 2x + 3x - 5 (iii) 2x + 12 + 2x - 122x + 12 - 2x - 12= 178(iv) 4x + 1 + x + 34x + 1 -x + 3= 41(v) 4x + 1 2 + 2x + 324x2 + 12x + 9= 6136(vi) 3x - 4 3 - x + 1 33x - 4 3 + x + 1 3 = 61189
Answer» Solve the following equations. (i) $\frac{x^{2} + 12 x - 20}{3 x - 5} = \frac{x^{2} + 8 x + 12}{2 x + 3}$ (ii) $\frac{10 x^{2} + 15 x + 63}{5 x^{2} - 25 x + 12} = \frac{2 x + 3}{x - 5}$ (iii) $\frac{{(2 x + 1)}^{2} + {(2 x - 1)}^{2}}{{(2 x + 1)}^{2} - {(2 x - 1)}^{2}} = \frac{17}{8}$ (iv) $\frac{\sqrt{4 x + 1} + \sqrt{x + 3}}{\sqrt{4 x + 1} - \sqrt{x + 3}} = \frac{4}{1}$ (v) $\frac{{(4 x + 1)}^{2} + {(2 x + 3)}^{2}}{4 x^{2} + 12 x + 9} = \frac{61}{36}$ (vi) $\frac{{(3 x - 4)}^{3} - {(x + 1)}^{3}}{{(3 x - 4)}^{3} + {(x + 1)}^{3}} = \frac{61}{189}$