2x/((0.81-x)*(0.81-x))-0.1

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Solution for 2x/((0.81-x)*(0.81-x))-0.1 equation: 


D( x )

(0.81-x)*(0.81-x) = 0

(0.81-x)*(0.81-x) = 0

(0.81-x)*(0.81-x) = 0

(0.81-x)^2 = 0

0.81-x = 0 // - 0.81

-x = -0.81 // * -1

x = 0.81

x in (-oo:0.81) U (0.81:+oo)

(2*x)/((0.81-x)*(0.81-x))-0.1 = 0

(2*x)/((0.81-x)^2)-0.1 = 0

(2*x)/((0.81-x)^2)+(-0.1*(0.81-x)^2)/((0.81-x)^2) = 0

2*x-0.1*(0.81-x)^2 = 0

2.162*x-0.1*x^2-0.06561 = 0

2.162*x-0.1*x^2-0.06561 = 0

2.162*x-0.1*x^2-0.06561 = 0

DELTA = 2.162^2-(-0.1*(-0.06561)*4)

DELTA = 2.162^2-0.026244

DELTA = 4.648

DELTA > 0

x = ((2.162^2-0.026244)^(1/2)-2.162)/(-0.1*2) or x = (-(2.162^2-0.026244)^(1/2)-2.162)/(-0.1*2)

x = -5*((2.162^2-0.026244)^(1/2)-2.162) or x = 5*((2.162^2-0.026244)^(1/2)+2.162)

(x+5*((2.162^2-0.026244)^(1/2)-2.162))*(x-5*((2.162^2-0.026244)^(1/2)+2.162)) = 0

((x+5*((2.162^2-0.026244)^(1/2)-2.162))*(x-5*((2.162^2-0.026244)^(1/2)+2.162)))/((0.81-x)^2) = 0

((x+5*((2.162^2-0.026244)^(1/2)-2.162))*(x-5*((2.162^2-0.026244)^(1/2)+2.162)))/((0.81-x)^2) = 0 // * (0.81-x)^2

(x+5*((2.162^2-0.026244)^(1/2)-2.162))*(x-5*((2.162^2-0.026244)^(1/2)+2.162)) = 0

( x+5*((2.162^2-0.026244)^(1/2)-2.162) )

x+5*((2.162^2-0.026244)^(1/2)-2.162) = 0 // - 5*((2.162^2-0.026244)^(1/2)-2.162)

x = -(5*((2.162^2-0.026244)^(1/2)-2.162))

x = -5*((2.162^2-0.026244)^(1/2)-2.162)

( x-5*((2.162^2-0.026244)^(1/2)+2.162) )

x-5*((2.162^2-0.026244)^(1/2)+2.162) = 0 // + -5*((2.162^2-0.026244)^(1/2)+2.162)

x = -(-5*((2.162^2-0.026244)^(1/2)+2.162))

x = 5*((2.162^2-0.026244)^(1/2)+2.162)

x in { -5*((2.162^2-0.026244)^(1/2)-2.162), 5*((2.162^2-0.026244)^(1/2)+2.162) }

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