(x-5)^2/5=9

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


x in (-oo:+oo)

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

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

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

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

x^2-10*x-20 = 0

x^2-10*x-20 = 0

x^2-10*x-20 = 0

DELTA = (-10)^2-(-20*1*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+10)/(1*2) or x = (10-180^(1/2))/(1*2)

x = (6*5^(1/2)+10)/2 or x = (10-6*5^(1/2))/2

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

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

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

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

( x-((10-6*5^(1/2))/2) )

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

x = (10-6*5^(1/2))/2

( x-((6*5^(1/2)+10)/2) )

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

x = (6*5^(1/2)+10)/2

x in { (10-6*5^(1/2))/2, (6*5^(1/2)+10)/2 }

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