(2x-4)/39=24/(2x-4)

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Solution for (2x-4)/39=24/(2x-4) equation:


D( x )

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0

2*x-4 = 0 // + 4

2*x = 4 // : 2

x = 4/2

x = 2

x in (-oo:2) U (2:+oo)

(2*x-4)/39 = 24/(2*x-4) // - 24/(2*x-4)

(2*x-4)/39-(24/(2*x-4)) = 0

(2*x-4)/39-24*(2*x-4)^-1 = 0

(2*x-4)/39-24/(2*x-4) = 0

((2*x-4)^2)/(39*(2*x-4))+(-24*39)/(39*(2*x-4)) = 0

(2*x-4)^2-24*39 = 0

4*x^2-16*x-920 = 0

4*x^2-16*x-920 = 0

4*(x^2-4*x-230) = 0

x^2-4*x-230 = 0

DELTA = (-4)^2-(-230*1*4)

DELTA = 936

DELTA > 0

x = (936^(1/2)+4)/(1*2) or x = (4-936^(1/2))/(1*2)

x = (6*26^(1/2)+4)/2 or x = (4-6*26^(1/2))/2

4*(x-((4-6*26^(1/2))/2))*(x-((6*26^(1/2)+4)/2)) = 0

(4*(x-((4-6*26^(1/2))/2))*(x-((6*26^(1/2)+4)/2)))/(39*(2*x-4)) = 0

(4*(x-((4-6*26^(1/2))/2))*(x-((6*26^(1/2)+4)/2)))/(39*(2*x-4)) = 0 // * 39*(2*x-4)

4*(x-((4-6*26^(1/2))/2))*(x-((6*26^(1/2)+4)/2)) = 0

( x-((4-6*26^(1/2))/2) )

x-((4-6*26^(1/2))/2) = 0 // + (4-6*26^(1/2))/2

x = (4-6*26^(1/2))/2

( x-((6*26^(1/2)+4)/2) )

x-((6*26^(1/2)+4)/2) = 0 // + (6*26^(1/2)+4)/2

x = (6*26^(1/2)+4)/2

x in { (4-6*26^(1/2))/2, (6*26^(1/2)+4)/2 }

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