(1/4x)^2-3x=8

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Solution for (1/4x)^2-3x=8 equation: 


x in (-oo:+oo)

((1/4)*x)^2-(3*x) = 8 // - 8

((1/4)*x)^2-(3*x)-8 = 0

((1/4)*x)^2-3*x-8 = 0

1/16*x^2-3*x-8 = 0

DELTA = (-3)^2-(-8*1/16*4)

DELTA = 11

DELTA > 0

x = (11^(1/2)+3)/(1/16*2) or x = (3-11^(1/2))/(1/16*2)

x = 8*(11^(1/2)+3) or x = 8*(3-11^(1/2))

x in { 8*(3-11^(1/2)), 8*(11^(1/2)+3) }

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