1.6=(4.1-x)(4.1-x)/(x)(x)

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Solution for 1.6=(4.1-x)(4.1-x)/(x)(x) equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

1.6 = x*(((4.1-x)*(4.1-x))/x) // - x*(((4.1-x)*(4.1-x))/x)

1.6-(x*(((4.1-x)*(4.1-x))/x)) = 0

1.6-(4.1-x)^2 = 0

1.6-1*(4.1-x)^2 = 0

1.6-1*(4.1-x)^2 = 0

8.2*x-x^2-15.21 = 0

8.2*x-x^2-15.21 = 0

8.2*x-x^2-15.21 = 0

DELTA = 8.2^2-(-15.21*(-1)*4)

DELTA = 8.2^2-60.84

DELTA = 6.4

DELTA > 0

x = ((8.2^2-60.84)^(1/2)-8.2)/(-1*2) or x = (-(8.2^2-60.84)^(1/2)-8.2)/(-1*2)

x = ((8.2^2-60.84)^(1/2)-8.2)/(-2) or x = ((8.2^2-60.84)^(1/2)+8.2)/2

(x-(((8.2^2-60.84)^(1/2)-8.2)/(-2)))*(x-(((8.2^2-60.84)^(1/2)+8.2)/2)) = 0

(x-(((8.2^2-60.84)^(1/2)-8.2)/(-2)))*(x-(((8.2^2-60.84)^(1/2)+8.2)/2)) = 0

( x-(((8.2^2-60.84)^(1/2)+8.2)/2) )

x-(((8.2^2-60.84)^(1/2)+8.2)/2) = 0 // + ((8.2^2-60.84)^(1/2)+8.2)/2

x = ((8.2^2-60.84)^(1/2)+8.2)/2

( x-(((8.2^2-60.84)^(1/2)-8.2)/(-2)) )

x-(((8.2^2-60.84)^(1/2)-8.2)/(-2)) = 0 // + ((8.2^2-60.84)^(1/2)-8.2)/(-2)

x = ((8.2^2-60.84)^(1/2)-8.2)/(-2)

x in { ((8.2^2-60.84)^(1/2)+8.2)/2, ((8.2^2-60.84)^(1/2)-8.2)/(-2) }

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