Question

6x+29=5/x solve the equation

Answer 1

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6X + 29 = 5/X




X ( 6X + 29 ) = 5



6X² + 29X = 5



6X² + 29X - 5 = 0



6X² + 30X - X - 5 = 0



6X ( X + 5 ) - 1 ( X + 5 ) = 0


( X + 5 ) ( 6X - 1 ) = 0



( X + 5 ) = 0 OR ( 6X - 1 ) = 0


X = -5 or X = 1/6

Answer 2

6x + 29 = 5 / x
=> x(6x + 29) = 5 { on cross multiplication }
=> 6x² + 29x - 5 = 0
=> 6x² + 30x - x - 5 = 0
=> 6x ( x + 5) - 1 ( x + 5 ) = 0
=> (6x - 1)(x + 5) = 0
=> x = 1/6 or (-5)
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