(n-3)2/5=30

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Solution for (n-3)2/5=30 equation: 


n in (-oo:+oo)

((n-3)^2)/5 = 30 // - 30

((n-3)^2)/5-30 = 0

((n-3)^2)/5+(-30*5)/5 = 0

(n-3)^2-30*5 = 0

n^2-6*n-141 = 0

n^2-6*n-141 = 0

n^2-6*n-141 = 0

DELTA = (-6)^2-(-141*1*4)

DELTA = 600

DELTA > 0

n = (600^(1/2)+6)/(1*2) or n = (6-600^(1/2))/(1*2)

n = (10*6^(1/2)+6)/2 or n = (6-10*6^(1/2))/2

(n-((6-10*6^(1/2))/2))*(n-((10*6^(1/2)+6)/2)) = 0

((n-((6-10*6^(1/2))/2))*(n-((10*6^(1/2)+6)/2)))/5 = 0

((n-((6-10*6^(1/2))/2))*(n-((10*6^(1/2)+6)/2)))/5 = 0 // * 5

(n-((6-10*6^(1/2))/2))*(n-((10*6^(1/2)+6)/2)) = 0

( n-((10*6^(1/2)+6)/2) )

n-((10*6^(1/2)+6)/2) = 0 // + (10*6^(1/2)+6)/2

n = (10*6^(1/2)+6)/2

( n-((6-10*6^(1/2))/2) )

n-((6-10*6^(1/2))/2) = 0 // + (6-10*6^(1/2))/2

n = (6-10*6^(1/2))/2

n in { (10*6^(1/2)+6)/2, (6-10*6^(1/2))/2 }

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