1.375=x/((0.1-x)(0.1-x))

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Solution for 1.375=x/((0.1-x)(0.1-x)) equation: 


D( x )

(0.1-x)*(0.1-x) = 0

(0.1-x)*(0.1-x) = 0

(0.1-x)*(0.1-x) = 0

(0.1-x)^2 = 0

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

x in (-oo:0.1) U (0.1:+oo)

1.375 = x/((0.1-x)*(0.1-x)) // - x/((0.1-x)*(0.1-x))

1.375-(x/((0.1-x)*(0.1-x))) = 0

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

(-1*x)/((0.1-x)^2)+1.375 = 0

(-1*x)/((0.1-x)^2)+(1.375*(0.1-x)^2)/((0.1-x)^2) = 0

1.375*(0.1-x)^2-1*x = 0

1.375*x^2-1.275*x+0.01375 = 0

1.375*x^2-1.275*x+0.01375 = 0

1.375*x^2-1.275*x+0.01375 = 0

DELTA = (-1.275)^2-(0.01375*1.375*4)

DELTA = 1.275^2-0.075625

DELTA = 1.55

DELTA > 0

x = ((1.275^2-0.075625)^(1/2)+1.275)/(1.375*2) or x = (1.275-(1.275^2-0.075625)^(1/2))/(1.375*2)

x = 0.36363636*((1.275^2-0.075625)^(1/2)+1.275) or x = 0.36363636*(1.275-(1.275^2-0.075625)^(1/2))

(x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)))*(x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275)) = 0

((x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)))*(x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275)))/((0.1-x)^2) = 0

((x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)))*(x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275)))/((0.1-x)^2) = 0 // * (0.1-x)^2

(x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)))*(x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275)) = 0

( x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275) )

x-0.36363636*((1.275^2-0.075625)^(1/2)+1.275) = 0 // + -0.36363636*((1.275^2-0.075625)^(1/2)+1.275)

x = -(-0.36363636*((1.275^2-0.075625)^(1/2)+1.275))

x = 0.36363636*((1.275^2-0.075625)^(1/2)+1.275)

( x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)) )

x-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)) = 0 // + -0.36363636*(1.275-(1.275^2-0.075625)^(1/2))

x = -(-0.36363636*(1.275-(1.275^2-0.075625)^(1/2)))

x = 0.36363636*(1.275-(1.275^2-0.075625)^(1/2))

x in { 0.36363636*((1.275^2-0.075625)^(1/2)+1.275), 0.36363636*(1.275-(1.275^2-0.075625)^(1/2)) }

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