Question

Solve 1/x+2 + 1/x+1 =2/x+10

Answer 1

Answer:

$\frac{26}{17}$

Step-by-step explanation:

$\frac{1}{x+2} +\frac{1}{x+1} = \frac{2}{x+10}$

$or, \frac{x+1+x+2}{(x+1)(x+2)} =\frac{2}{x+10} \\or, \frac{2x+3}{x^{2} + 3x+2 } = \frac{2}{x+10}\\or, \frac{(2x+3)(x+10)}{x^{2} + 3x+2} =2\\or, 2x^{2}+23x+ 30= 2(x^{2} + 3x+2)\\ or, 2x^{2}+23x+ 30 = 2x^{2} +6x+4\\or,23x-6x=4-30\\or,17x = 26\\or, x = \frac{26}{17}$