Solve X = (3x + 1)/(4x) - Mathematics

Sum

Solve x = (3x + 1)/(4x)

Solution

x = (3x + 1)/(4x)

=> 4x^2 = 3x + 1

=> 4x^2 -  3x - 1 = 0

=> 4x^2 - 4x + x - 1  = 0

=> 4x(x - 1) + 1(x - 1) = 0

=> (x - 1)(4x + 1) = 0

Since x - 1 = 0 or  4x + 1 = 0

then x = 1 or x = (-1)/4

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