(x-3)^2/5=9

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Solution for (x-3)^2/5=9 equation: 


x in (-oo:+oo)

((x-3)^2)/5 = 9 // - 9

((x-3)^2)/5-9 = 0

((x-3)^2)/5+(-9*5)/5 = 0

(x-3)^2-9*5 = 0

x^2-6*x-36 = 0

x^2-6*x-36 = 0

x^2-6*x-36 = 0

DELTA = (-6)^2-(-36*1*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+6)/(1*2) or x = (6-180^(1/2))/(1*2)

x = (6*5^(1/2)+6)/2 or x = (6-6*5^(1/2))/2

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

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

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

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

( x-((6*5^(1/2)+6)/2) )

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

x = (6*5^(1/2)+6)/2

( x-((6-6*5^(1/2))/2) )

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

x = (6-6*5^(1/2))/2

x in { (6*5^(1/2)+6)/2, (6-6*5^(1/2))/2 }

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