4x-23=6/x

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Solution for 4x-23=6/x equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x-23 = 6/x // - 6/x

4*x-(6/x)-23 = 0

4*x-6*x^-1-23 = 0

4*x^1-6*x^-1-23*x^0 = 0

(4*x^2-23*x^1-6*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-23*x^1-6*x^0) = 0

x^1

4*x^2-23*x-6 = 0

4*x^2-23*x-6 = 0

DELTA = (-23)^2-(-6*4*4)

DELTA = 625

DELTA > 0

x = (625^(1/2)+23)/(2*4) or x = (23-625^(1/2))/(2*4)

x = 6 or x = -1/4

x in { -1/4, 6}

x in { -1/4, 6 }

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