1/2(4x-10)/5x-11

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Solution for 1/2(4x-10)/5x-11 equation:


x in (-oo:+oo)

x*(((1/2)*(4*x-10))/5)-11 = 0

(1/2*x*(4*x-10))/5-11 = 0

(1/2*x*(4*x-10))/5+(-11*5)/5 = 0

1/2*x*(4*x-10)-11*5 = 0

2*x^2-5*x-55 = 0

2*x^2-5*x-55 = 0

2*x^2-5*x-55 = 0

DELTA = (-5)^2-(-55*2*4)

DELTA = 465

DELTA > 0

x = (465^(1/2)+5)/(2*2) or x = (5-465^(1/2))/(2*2)

x = (465^(1/2)+5)/4 or x = (5-465^(1/2))/4

(x-((5-465^(1/2))/4))*(x-((465^(1/2)+5)/4)) = 0

((x-((5-465^(1/2))/4))*(x-((465^(1/2)+5)/4)))/5 = 0

((x-((5-465^(1/2))/4))*(x-((465^(1/2)+5)/4)))/5 = 0 // * 5

(x-((5-465^(1/2))/4))*(x-((465^(1/2)+5)/4)) = 0

( x-((465^(1/2)+5)/4) )

x-((465^(1/2)+5)/4) = 0 // + (465^(1/2)+5)/4

x = (465^(1/2)+5)/4

( x-((5-465^(1/2))/4) )

x-((5-465^(1/2))/4) = 0 // + (5-465^(1/2))/4

x = (5-465^(1/2))/4

x in { (465^(1/2)+5)/4, (5-465^(1/2))/4 }

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