(x+(4/3))2=(5/9)

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Solution for (x+(4/3))2=(5/9) equation:


x in (-oo:+oo)

(x+4/3)^2 = 5/9 // - 5/9

(x+4/3)^2-(5/9) = 0

(x+4/3)^2-5/9 = 0

(9*(x+4/3)^2)/9-5/9 = 0

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

9*x^2+24*x+11 = 0

9*x^2+24*x+11 = 0

9*x^2+24*x+11 = 0

DELTA = 24^2-(4*9*11)

DELTA = 180

DELTA > 0

x = (180^(1/2)-24)/(2*9) or x = (-180^(1/2)-24)/(2*9)

x = (6*5^(1/2)-24)/18 or x = (-6*5^(1/2)-24)/18

(x-((-6*5^(1/2)-24)/18))*(x-((6*5^(1/2)-24)/18)) = 0

((x-((-6*5^(1/2)-24)/18))*(x-((6*5^(1/2)-24)/18)))/9 = 0

((x-((-6*5^(1/2)-24)/18))*(x-((6*5^(1/2)-24)/18)))/9 = 0 // * 9

(x-((-6*5^(1/2)-24)/18))*(x-((6*5^(1/2)-24)/18)) = 0

( x-((-6*5^(1/2)-24)/18) )

x-((-6*5^(1/2)-24)/18) = 0 // + (-6*5^(1/2)-24)/18

x = (-6*5^(1/2)-24)/18

( x-((6*5^(1/2)-24)/18) )

x-((6*5^(1/2)-24)/18) = 0 // + (6*5^(1/2)-24)/18

x = (6*5^(1/2)-24)/18

x in { (-6*5^(1/2)-24)/18, (6*5^(1/2)-24)/18 }

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