(x-5)^2/3=100

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Solution for (x-5)^2/3=100 equation:


x in (-oo:+oo)

((x-5)^2)/3 = 100 // - 100

((x-5)^2)/3-100 = 0

((x-5)^2)/3+(-100*3)/3 = 0

(x-5)^2-100*3 = 0

x^2-10*x-275 = 0

x^2-10*x-275 = 0

x^2-10*x-275 = 0

DELTA = (-10)^2-(-275*1*4)

DELTA = 1200

DELTA > 0

x = (1200^(1/2)+10)/(1*2) or x = (10-1200^(1/2))/(1*2)

x = (20*3^(1/2)+10)/2 or x = (10-20*3^(1/2))/2

(x-((10-20*3^(1/2))/2))*(x-((20*3^(1/2)+10)/2)) = 0

((x-((10-20*3^(1/2))/2))*(x-((20*3^(1/2)+10)/2)))/3 = 0

((x-((10-20*3^(1/2))/2))*(x-((20*3^(1/2)+10)/2)))/3 = 0 // * 3

(x-((10-20*3^(1/2))/2))*(x-((20*3^(1/2)+10)/2)) = 0

( x-((10-20*3^(1/2))/2) )

x-((10-20*3^(1/2))/2) = 0 // + (10-20*3^(1/2))/2

x = (10-20*3^(1/2))/2

( x-((20*3^(1/2)+10)/2) )

x-((20*3^(1/2)+10)/2) = 0 // + (20*3^(1/2)+10)/2

x = (20*3^(1/2)+10)/2

x in { (10-20*3^(1/2))/2, (20*3^(1/2)+10)/2 }

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