x^2=4/9x+45/81

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Solution for x^2=4/9x+45/81 equation: 


x in (-oo:+oo)

x^2 = (4/9)*x+45/81 // - (4/9)*x+45/81

x^2-((4/9)*x)-(45/81) = 0

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

x^2-4/9*x-5/9 = 0

DELTA = (-4/9)^2-(-5/9*1*4)

DELTA = 196/81

DELTA > 0

x = ((196/81)^(1/2)+4/9)/(1*2) or x = (4/9-(196/81)^(1/2))/(1*2)

x = 1 or x = -5/9

x in { -5/9, 1 }

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