(4x-1)/3x=8

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


x in (-oo:+oo)

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

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

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

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

x*(4*x-1)-8*3 = 0

4*x^2-x-24 = 0

4*x^2-x-24 = 0

4*x^2-x-24 = 0

DELTA = (-1)^2-(-24*4*4)

DELTA = 385

DELTA > 0

x = (385^(1/2)+1)/(2*4) or x = (1-385^(1/2))/(2*4)

x = (385^(1/2)+1)/8 or x = (1-385^(1/2))/8

(x-((1-385^(1/2))/8))*(x-((385^(1/2)+1)/8)) = 0

((x-((1-385^(1/2))/8))*(x-((385^(1/2)+1)/8)))/3 = 0

((x-((1-385^(1/2))/8))*(x-((385^(1/2)+1)/8)))/3 = 0 // * 3

(x-((1-385^(1/2))/8))*(x-((385^(1/2)+1)/8)) = 0

( x-((1-385^(1/2))/8) )

x-((1-385^(1/2))/8) = 0 // + (1-385^(1/2))/8

x = (1-385^(1/2))/8

( x-((385^(1/2)+1)/8) )

x-((385^(1/2)+1)/8) = 0 // + (385^(1/2)+1)/8

x = (385^(1/2)+1)/8

x in { (1-385^(1/2))/8, (385^(1/2)+1)/8 }

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