(5x^2+42x+16)/x+8

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Solution for (5x^2+42x+16)/x+8 equation: 


D( x )

x = 0

x = 0

x = 0

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

(5*x^2+42*x+16)/x+8 = 0

(5*x^2+42*x+16)/x+(8*x)/x = 0

5*x^2+42*x+8*x+16 = 0

5*x^2+50*x+16 = 0

5*x^2+50*x+16 = 0

5*x^2+50*x+16 = 0

DELTA = 50^2-(4*5*16)

DELTA = 2180

DELTA > 0

x = (2180^(1/2)-50)/(2*5) or x = (-2180^(1/2)-50)/(2*5)

x = (2*545^(1/2)-50)/10 or x = (-2*545^(1/2)-50)/10

(x-((-2*545^(1/2)-50)/10))*(x-((2*545^(1/2)-50)/10)) = 0

((x-((-2*545^(1/2)-50)/10))*(x-((2*545^(1/2)-50)/10)))/x = 0

((x-((-2*545^(1/2)-50)/10))*(x-((2*545^(1/2)-50)/10)))/x = 0 // * x

(x-((-2*545^(1/2)-50)/10))*(x-((2*545^(1/2)-50)/10)) = 0

( x-((-2*545^(1/2)-50)/10) )

x-((-2*545^(1/2)-50)/10) = 0 // + (-2*545^(1/2)-50)/10

x = (-2*545^(1/2)-50)/10

( x-((2*545^(1/2)-50)/10) )

x-((2*545^(1/2)-50)/10) = 0 // + (2*545^(1/2)-50)/10

x = (2*545^(1/2)-50)/10

x in { (-2*545^(1/2)-50)/10, (2*545^(1/2)-50)/10 }

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