(x+13/5)^2=11/25

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Solution for (x+13/5)^2=11/25 equation:


x in (-oo:+oo)

(x+13/5)^2 = 11/25 // - 11/25

(x+13/5)^2-(11/25) = 0

(x+13/5)^2-11/25 = 0

(25*(x+13/5)^2)/25-11/25 = 0

25*(x+13/5)^2-11 = 0

25*x^2+130*x+158 = 0

25*x^2+130*x+158 = 0

25*x^2+130*x+158 = 0

DELTA = 130^2-(4*25*158)

DELTA = 1100

DELTA > 0

x = (1100^(1/2)-130)/(2*25) or x = (-1100^(1/2)-130)/(2*25)

x = (10*11^(1/2)-130)/50 or x = (-10*11^(1/2)-130)/50

(x-((-10*11^(1/2)-130)/50))*(x-((10*11^(1/2)-130)/50)) = 0

((x-((-10*11^(1/2)-130)/50))*(x-((10*11^(1/2)-130)/50)))/25 = 0

((x-((-10*11^(1/2)-130)/50))*(x-((10*11^(1/2)-130)/50)))/25 = 0 // * 25

(x-((-10*11^(1/2)-130)/50))*(x-((10*11^(1/2)-130)/50)) = 0

( x-((-10*11^(1/2)-130)/50) )

x-((-10*11^(1/2)-130)/50) = 0 // + (-10*11^(1/2)-130)/50

x = (-10*11^(1/2)-130)/50

( x-((10*11^(1/2)-130)/50) )

x-((10*11^(1/2)-130)/50) = 0 // + (10*11^(1/2)-130)/50

x = (10*11^(1/2)-130)/50

x in { (-10*11^(1/2)-130)/50, (10*11^(1/2)-130)/50 }

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