x + 1/x=4, what is x-1/x equal to?
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Multiply both sides by x (check that x is not equal to 0 at the end as it would make the 1/x undefined)
x^2 + 1 = 4x
subtract 4x from both sides of the equation.
x^2 -4x + 1 = 0
Use the quadratic formula
x = (-(-4) +/- radical( (-4)^2 - 4*1*1) )/(2*1)
x = ( 4 +/- radical(12) )/2
x = ( 4 +/- 2*radical(3) )/2
x = 2 +/- radical(3)
Step-by-step explanation:
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