(4x-1)^2/3=16

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Solution for (4x-1)^2/3=16 equation:


x in (-oo:+oo)

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

((4*x-1)^2)/3-16 = 0

((4*x-1)^2)/3+(-16*3)/3 = 0

(4*x-1)^2-16*3 = 0

16*x^2-8*x-47 = 0

16*x^2-8*x-47 = 0

16*x^2-8*x-47 = 0

DELTA = (-8)^2-(-47*4*16)

DELTA = 3072

DELTA > 0

x = (3072^(1/2)+8)/(2*16) or x = (8-3072^(1/2))/(2*16)

x = (32*3^(1/2)+8)/32 or x = (8-32*3^(1/2))/32

(x-((8-32*3^(1/2))/32))*(x-((32*3^(1/2)+8)/32)) = 0

((x-((8-32*3^(1/2))/32))*(x-((32*3^(1/2)+8)/32)))/3 = 0

((x-((8-32*3^(1/2))/32))*(x-((32*3^(1/2)+8)/32)))/3 = 0 // * 3

(x-((8-32*3^(1/2))/32))*(x-((32*3^(1/2)+8)/32)) = 0

( x-((32*3^(1/2)+8)/32) )

x-((32*3^(1/2)+8)/32) = 0 // + (32*3^(1/2)+8)/32

x = (32*3^(1/2)+8)/32

( x-((8-32*3^(1/2))/32) )

x-((8-32*3^(1/2))/32) = 0 // + (8-32*3^(1/2))/32

x = (8-32*3^(1/2))/32

x in { (32*3^(1/2)+8)/32, (8-32*3^(1/2))/32 }

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