1/(x-2)+1/(x+3)=1/5 solve the problem for me September 3, 2021 by Gia Bảo 1/(x-2)+1/(x+3)=1/5 solve the problem for me
════════ ∘◦❁◦∘ ════════ Final value : x² -9x – 11 ════════════════════ Step by step [tex] \frac{1}{(x – 2)} + \frac{1}{(x + 3)} = \frac{1}{5} [/tex] [tex] \frac{(x + 3) + (x – 2)}{(x – 2)(x + 3)} = \frac{1}{5} [/tex] [tex] \frac{2x + 1}{ {x}^{2} + 3x – 2x – 6 } = \frac{1}{5} [/tex] [tex] \frac{2x + 1}{ {x}^{2} + x – 6} = \frac{1}{5} [/tex] 2x + 1 = ⅕ × (x² + x – 6) 2x + 1 = ⅕x² + ⅕x – 6/5 1/5x² +1/5x – 2x – 6/5 – 1 = 0 1/5x² -9/5x – 11/5 = 0 x² – 9x – 11 = 0. #times by 5 ════════════════════ #Give me brainliest pls im tired typing all of this Reply
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Final value : x² -9x – 11
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Step by step
[tex] \frac{1}{(x – 2)} + \frac{1}{(x + 3)} = \frac{1}{5} [/tex]
[tex] \frac{(x + 3) + (x – 2)}{(x – 2)(x + 3)} = \frac{1}{5} [/tex]
[tex] \frac{2x + 1}{ {x}^{2} + 3x – 2x – 6 } = \frac{1}{5} [/tex]
[tex] \frac{2x + 1}{ {x}^{2} + x – 6} = \frac{1}{5} [/tex]
2x + 1 = ⅕ × (x² + x – 6)
2x + 1 = ⅕x² + ⅕x – 6/5
1/5x² +1/5x – 2x – 6/5 – 1 = 0
1/5x² -9/5x – 11/5 = 0
x² – 9x – 11 = 0. #times by 5
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#Give me brainliest pls im tired typing all of this