Question

2/(x+1) +3/2(x-2)=23/5x ,x≠0,-1,2 find the roots

Answer 1

Step-by-step explanation:

$according \: \: to \: question \\ \frac{2}{(x + 1)} + \frac{3}{2(x - 2)} = \frac{23}{5x} \\ \frac{4(x - 2) + 3(x + 1)}{2(x + 1)(x - 2)} = \frac{23}{5x} \\ \frac{4x - 8 + 3x + 3}{2(x + 1)(x - 2)} = \frac{23}{5x} \\ 20 {x}^{2} - 40x + 15x + 15 {x}^{2} = 46(x + 1)(x - 2) \\ on \: solving \: this \: we \: get \: the \: equation \\ 11 {x}^{2} - 21x - 92 = 0 \\ by \: quadratic \: formula \\ x = 4 \: and \: \\ x = \frac{21 - 67}{22} = \frac{ - 46}{22}$

the roots are. 4 and -46/22

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