The value of x in the algebraic equation 7 / 2x - 2 / x + 1 = 1 / 4 is 7 and -2
How to solve algebraic equation?
let's find the value of x in the algebraic equation.
7 / 2x - 2 / x + 1 = 1 / 4
Therefore, let's solve the left side.
7 / 2x - 2 / x + 1 = 7(x + 1) - 4x / 2x(x + 1) = 7x + 7 - 4x / 2x² + 2x = 3x + 7 / 2x² + 2x
3x + 7 / 2x² + 2x = 1 / 4
cross multiply
4(3x + 7) = 2x² + 2x
12x + 28 = 2x² + 2x
2x² + 2x - 12x - 28 = 0
2x² - 10x - 28 = 0
x² - 5x - 14 = 0
Therefore,
(x + 2)(x - 7)
hence,
x = -2 or x = 7
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