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in Mathematics by (893 points)
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Find the value/s of x which satisfy the following equation: x+1/x+x/x+1=25/12

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Best answer

(x + 1) / x + x / (x + 1) = 25/12

⇒ (x2 + x2 + 2x + 1) / x2 + x = 25/12

⇒ (2x2 + 2x + 1) / x2 + x = 25/12

⇒ 24x2 + 24x + 12 = 25x2 + 25x

⇒ x2 + x - 12 = 0

⇒ (x + 4) (x - 3) = 12

∴ x = -4 or x = 3

by (893 points)
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