10 X − 1 X = 3 - Mathematics

`10x -(1)/x` = 3

Sum

`10x -(1)/x` = 3

⇒ `(10x^2 - 1)/x` = 3

⇒ 10x² - 3x -1 = 0
⇒ 10x² - 5x + 2x - 1 = 0
⇒ 5x(2x - 1) + 1(2x - 1) = 0
⇒ (2x - 1)(5x + 1) = 0
⇒ 2x - 1 = 0 or 5x + 1 = 0

x = `(1)/(2)` or x = `- (1)/(5)` are two roots of the equation.

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