8x^2=16x-64/9

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Solution for 8x^2=16x-64/9 equation: 


x in (-oo:+oo)

8*x^2 = 16*x-(64/9) // - 16*x-(64/9)

8*x^2-(16*x)+64/9 = 0

8*x^2-16*x+64/9 = 0

8*x^2-16*x+64/9 = 0

DELTA = (-16)^2-(4*64/9*8)

DELTA = 256/9

DELTA > 0

x = ((256/9)^(1/2)+16)/(2*8) or x = (16-(256/9)^(1/2))/(2*8)

x = 4/3 or x = 2/3

x in { 2/3, 4/3 }

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