(5x-2)/2x-18

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Solution for (5x-2)/2x-18 equation:


x in (-oo:+oo)

x*((5*x-2)/2)-18 = 0

(x*(5*x-2))/2-18 = 0

(x*(5*x-2))/2+(-18*2)/2 = 0

x*(5*x-2)-18*2 = 0

5*x^2-2*x-36 = 0

5*x^2-2*x-36 = 0

5*x^2-2*x-36 = 0

DELTA = (-2)^2-(-36*4*5)

DELTA = 724

DELTA > 0

x = (724^(1/2)+2)/(2*5) or x = (2-724^(1/2))/(2*5)

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

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

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

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

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

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

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

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

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

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

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

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

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