(x-4)^2/5=4

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Solution for (x-4)^2/5=4 equation:


x in (-oo:+oo)

((x-4)^2)/5 = 4 // - 4

((x-4)^2)/5-4 = 0

((x-4)^2)/5+(-4*5)/5 = 0

(x-4)^2-4*5 = 0

x^2-8*x-4 = 0

x^2-8*x-4 = 0

x^2-8*x-4 = 0

DELTA = (-8)^2-(-4*1*4)

DELTA = 80

DELTA > 0

x = (80^(1/2)+8)/(1*2) or x = (8-80^(1/2))/(1*2)

x = (4*5^(1/2)+8)/2 or x = (8-4*5^(1/2))/2

(x-((8-4*5^(1/2))/2))*(x-((4*5^(1/2)+8)/2)) = 0

((x-((8-4*5^(1/2))/2))*(x-((4*5^(1/2)+8)/2)))/5 = 0

((x-((8-4*5^(1/2))/2))*(x-((4*5^(1/2)+8)/2)))/5 = 0 // * 5

(x-((8-4*5^(1/2))/2))*(x-((4*5^(1/2)+8)/2)) = 0

( x-((4*5^(1/2)+8)/2) )

x-((4*5^(1/2)+8)/2) = 0 // + (4*5^(1/2)+8)/2

x = (4*5^(1/2)+8)/2

( x-((8-4*5^(1/2))/2) )

x-((8-4*5^(1/2))/2) = 0 // + (8-4*5^(1/2))/2

x = (8-4*5^(1/2))/2

x in { (4*5^(1/2)+8)/2, (8-4*5^(1/2))/2 }

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