(5x^2-9x-5)/(2x-3x^2)

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Solution for (5x^2-9x-5)/(2x-3x^2) equation:


D( x )

2*x-(3*x^2) = 0

2*x-(3*x^2) = 0

2*x-(3*x^2) = 0

2*x-3*x^2 = 0

2*x-3*x^2 = 0

DELTA = 2^2-(-3*0*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)-2)/(-3*2) or x = (-4^(1/2)-2)/(-3*2)

x = 0 or x = 2/3

x in (-oo:0) U (0:2/3) U (2/3:+oo)

(5*x^2-(9*x)-5)/(2*x-(3*x^2)) = 0

(5*x^2-9*x-5)/(2*x-3*x^2) = 0

5*x^2-9*x-5 = 0

5*x^2-9*x-5 = 0

DELTA = (-9)^2-(-5*4*5)

DELTA = 181

DELTA > 0

x = (181^(1/2)+9)/(2*5) or x = (9-181^(1/2))/(2*5)

x = (181^(1/2)+9)/10 or x = (9-181^(1/2))/10

(x-((9-181^(1/2))/10))*(x-((181^(1/2)+9)/10)) = 0

2*x-3*x^2 = 0

x*(2-3*x) = 0

2-3*x = 0 // - 2

-3*x = -2 // : -3

x = -2/(-3)

x = 2/3

x*(x-2/3) = 0

((x-((9-181^(1/2))/10))*(x-((181^(1/2)+9)/10)))/(x*(x-2/3)) = 0

( x-((181^(1/2)+9)/10) )

x-((181^(1/2)+9)/10) = 0 // + (181^(1/2)+9)/10

x = (181^(1/2)+9)/10

( x-((9-181^(1/2))/10) )

x-((9-181^(1/2))/10) = 0 // + (9-181^(1/2))/10

x = (9-181^(1/2))/10

x in { (181^(1/2)+9)/10, (9-181^(1/2))/10 }

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