(8x^2-24x+15)/(2x-5)

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Solution for (8x^2-24x+15)/(2x-5) equation: 


D( x )

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0

2*x-5 = 0 // + 5

2*x = 5 // : 2

x = 5/2

x in (-oo:5/2) U (5/2:+oo)

(8*x^2-(24*x)+15)/(2*x-5) = 0

(8*x^2-24*x+15)/(2*x-5) = 0

8*x^2-24*x+15 = 0

8*x^2-24*x+15 = 0

DELTA = (-24)^2-(4*8*15)

DELTA = 96

DELTA > 0

x = (96^(1/2)+24)/(2*8) or x = (24-96^(1/2))/(2*8)

x = (4*6^(1/2)+24)/16 or x = (24-4*6^(1/2))/16

(x-((24-4*6^(1/2))/16))*(x-((4*6^(1/2)+24)/16)) = 0

((x-((24-4*6^(1/2))/16))*(x-((4*6^(1/2)+24)/16)))/(2*x-5) = 0

( x-((24-4*6^(1/2))/16) )

x-((24-4*6^(1/2))/16) = 0 // + (24-4*6^(1/2))/16

x = (24-4*6^(1/2))/16

( x-((4*6^(1/2)+24)/16) )

x-((4*6^(1/2)+24)/16) = 0 // + (4*6^(1/2)+24)/16

x = (4*6^(1/2)+24)/16

x in { (24-4*6^(1/2))/16, (4*6^(1/2)+24)/16 }

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