(x-3/5)^2=4/5

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Solution for (x-3/5)^2=4/5 equation:


x in (-oo:+oo)

(x-(3/5))^2 = 4/5 // - 4/5

(x-(3/5))^2-(4/5) = 0

(x-3/5)^2-4/5 = 0

(5*(x-3/5)^2)/5-4/5 = 0

5*(x-3/5)^2-4 = 0

5*x^2-6*x-11/5 = 0

5*x^2-6*x-11/5 = 0

5*x^2-6*x-11/5 = 0

DELTA = (-6)^2-(-11/5*4*5)

DELTA = 80

DELTA > 0

x = (80^(1/2)+6)/(2*5) or x = (6-80^(1/2))/(2*5)

x = (4*5^(1/2)+6)/10 or x = (6-4*5^(1/2))/10

(x-((6-4*5^(1/2))/10))*(x-((4*5^(1/2)+6)/10)) = 0

((x-((6-4*5^(1/2))/10))*(x-((4*5^(1/2)+6)/10)))/5 = 0

((x-((6-4*5^(1/2))/10))*(x-((4*5^(1/2)+6)/10)))/5 = 0 // * 5

(x-((6-4*5^(1/2))/10))*(x-((4*5^(1/2)+6)/10)) = 0

( x-((4*5^(1/2)+6)/10) )

x-((4*5^(1/2)+6)/10) = 0 // + (4*5^(1/2)+6)/10

x = (4*5^(1/2)+6)/10

( x-((6-4*5^(1/2))/10) )

x-((6-4*5^(1/2))/10) = 0 // + (6-4*5^(1/2))/10

x = (6-4*5^(1/2))/10

x in { (4*5^(1/2)+6)/10, (6-4*5^(1/2))/10 }

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