(x-8)^2/5=9

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Solution for (x-8)^2/5=9 equation:


x in (-oo:+oo)

((x-8)^2)/5 = 9 // - 9

((x-8)^2)/5-9 = 0

((x-8)^2)/5+(-9*5)/5 = 0

(x-8)^2-9*5 = 0

x^2-16*x+19 = 0

x^2-16*x+19 = 0

x^2-16*x+19 = 0

DELTA = (-16)^2-(1*4*19)

DELTA = 180

DELTA > 0

x = (180^(1/2)+16)/(1*2) or x = (16-180^(1/2))/(1*2)

x = (6*5^(1/2)+16)/2 or x = (16-6*5^(1/2))/2

(x-((16-6*5^(1/2))/2))*(x-((6*5^(1/2)+16)/2)) = 0

((x-((16-6*5^(1/2))/2))*(x-((6*5^(1/2)+16)/2)))/5 = 0

((x-((16-6*5^(1/2))/2))*(x-((6*5^(1/2)+16)/2)))/5 = 0 // * 5

(x-((16-6*5^(1/2))/2))*(x-((6*5^(1/2)+16)/2)) = 0

( x-((16-6*5^(1/2))/2) )

x-((16-6*5^(1/2))/2) = 0 // + (16-6*5^(1/2))/2

x = (16-6*5^(1/2))/2

( x-((6*5^(1/2)+16)/2) )

x-((6*5^(1/2)+16)/2) = 0 // + (6*5^(1/2)+16)/2

x = (6*5^(1/2)+16)/2

x in { (16-6*5^(1/2))/2, (6*5^(1/2)+16)/2 }

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