((5x-5)^2/3)-3=13

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Solution for ((5x-5)^2/3)-3=13 equation:


x in (-oo:+oo)

((5*x-5)^2)/3-3 = 13 // - 13

((5*x-5)^2)/3-13-3 = 0

((5*x-5)^2)/3+(-13*3)/3+(-3*3)/3 = 0

(5*x-5)^2-13*3-3*3 = 0

25*x^2-50*x-14-9 = 0

25*x^2-50*x-23 = 0

25*x^2-50*x-23 = 0

25*x^2-50*x-23 = 0

DELTA = (-50)^2-(-23*4*25)

DELTA = 4800

DELTA > 0

x = (4800^(1/2)+50)/(2*25) or x = (50-4800^(1/2))/(2*25)

x = (40*3^(1/2)+50)/50 or x = (50-40*3^(1/2))/50

(x-((50-40*3^(1/2))/50))*(x-((40*3^(1/2)+50)/50)) = 0

((x-((50-40*3^(1/2))/50))*(x-((40*3^(1/2)+50)/50)))/3 = 0

((x-((50-40*3^(1/2))/50))*(x-((40*3^(1/2)+50)/50)))/3 = 0 // * 3

(x-((50-40*3^(1/2))/50))*(x-((40*3^(1/2)+50)/50)) = 0

( x-((40*3^(1/2)+50)/50) )

x-((40*3^(1/2)+50)/50) = 0 // + (40*3^(1/2)+50)/50

x = (40*3^(1/2)+50)/50

( x-((50-40*3^(1/2))/50) )

x-((50-40*3^(1/2))/50) = 0 // + (50-40*3^(1/2))/50

x = (50-40*3^(1/2))/50

x in { (40*3^(1/2)+50)/50, (50-40*3^(1/2))/50 }

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