(x^2-9x+14)/(4x)

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Solution for (x^2-9x+14)/(4x) equation: 


D( x )

4*x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

(x^2-(9*x)+14)/(4*x) = 0

(x^2-9*x+14)/(4*x) = 0

x^2-9*x+14 = 0

x^2-9*x+14 = 0

DELTA = (-9)^2-(1*4*14)

DELTA = 25

DELTA > 0

x = (25^(1/2)+9)/(1*2) or x = (9-25^(1/2))/(1*2)

x = 7 or x = 2

(x-2)*(x-7) = 0

((x-2)*(x-7))/(4*x) = 0

( x-2 )

x-2 = 0 // + 2

x = 2

( x-7 )

x-7 = 0 // + 7

x = 7

x in { 2, 7 }

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