(x*x)/((0.01-x)*(0.02-x))=1.297

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Solution for (x*x)/((0.01-x)*(0.02-x))=1.297 equation: 


D( x )

(0.01-x)*(0.02-x) = 0

(0.01-x)*(0.02-x) = 0

(0.01-x)*(0.02-x) = 0

( 0.01-x )

0.01-x = 0 // - 0.01

-x = -0.01 // * -1

x = 0.01

( 0.02-x )

0.02-x = 0 // - 0.02

-x = -0.02 // * -1

x = 0.02

x in (-oo:0.01) U (0.01:0.02) U (0.02:+oo)

(x*x)/((0.01-x)*(0.02-x)) = 1.297 // - 1.297

(x*x)/((0.01-x)*(0.02-x))-1.297 = 0

(x^2)/((0.01-x)*(0.02-x))-1.297 = 0

(x^2)/((0.01-x)*(0.02-x))+(-1.297*(0.01-x)*(0.02-x))/((0.01-x)*(0.02-x)) = 0

x^2-1.297*(0.01-x)*(0.02-x) = 0

0.03891*x-0.297*x^2-0.0002594 = 0

0.03891*x-0.297*x^2-0.0002594 = 0

0.03891*x-0.297*x^2-0.0002594 = 0

DELTA = 0.03891^2-(-0.297*(-0.0002594)*4)

DELTA = 0.03891^2-0.0003081672

DELTA = 0.0012058228

DELTA > 0

x = ((0.03891^2-0.0003081672)^(1/2)-0.03891)/(-0.297*2) or x = (-(0.03891^2-0.0003081672)^(1/2)-0.03891)/(-0.297*2)

x = -1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891) or x = 1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)

(x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891))*(x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)) = 0

((x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891))*(x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)))/((0.01-x)*(0.02-x)) = 0

((x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891))*(x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)))/((0.01-x)*(0.02-x)) = 0 // * (0.01-x)*(0.02-x)

(x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891))*(x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)) = 0

( x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891) )

x+1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891) = 0 // - 1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891)

x = -(1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891))

x = -1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891)

( x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891) )

x-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891) = 0 // + -1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)

x = -(-1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891))

x = 1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891)

x in { -1.68350168*((0.03891^2-0.0003081672)^(1/2)-0.03891), 1.68350168*((0.03891^2-0.0003081672)^(1/2)+0.03891) }

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