(4X2)/((0.79-X)(0.21-X))=0.0011

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Solution for (4X2)/((0.79-X)(0.21-X))=0.0011 equation: 


D( X )

(0.79-X)*(0.21-X) = 0

(0.79-X)*(0.21-X) = 0

(0.79-X)*(0.21-X) = 0

( 0.21-X )

0.21-X = 0 // - 0.21

-X = -0.21 // * -1

X = 0.21

( 0.79-X )

0.79-X = 0 // - 0.79

-X = -0.79 // * -1

X = 0.79

X in (-oo:0.21) U (0.21:0.79) U (0.79:+oo)

(4*X^2)/((0.79-X)*(0.21-X)) = 0.0011 // - 0.0011

(4*X^2)/((0.79-X)*(0.21-X))-0.0011 = 0

(4*X^2)/((0.79-X)*(0.21-X))+(-0.0011*(0.79-X)*(0.21-X))/((0.79-X)*(0.21-X)) = 0

4*X^2-0.0011*(0.79-X)*(0.21-X) = 0

3.9989*X^2+0.0011*X-0.00018249 = 0

3.9989*X^2+0.0011*X-0.00018249 = 0

3.9989*X^2+0.0011*X-0.00018249 = 0

DELTA = 0.0011^2-(-0.00018249*3.9989*4)

DELTA = 0.0011^2+0.002919037044

DELTA = 0.002920247044

DELTA > 0

X = ((0.0011^2+0.002919037044)^(1/2)-0.0011)/(2*3.9989) or X = (-(0.0011^2+0.002919037044)^(1/2)-0.0011)/(2*3.9989)

X = 0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011) or X = -0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011)

(X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011))*(X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)) = 0

((X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011))*(X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)))/((0.79-X)*(0.21-X)) = 0

((X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011))*(X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)))/((0.79-X)*(0.21-X)) = 0 // * (0.79-X)*(0.21-X)

(X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011))*(X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)) = 0

( X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011) )

X+0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011) = 0 // - 0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011)

X = -(0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011))

X = -0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011)

( X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011) )

X-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011) = 0 // + -0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)

X = -(-0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011))

X = 0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011)

X in { -0.12503438*((0.0011^2+0.002919037044)^(1/2)+0.0011), 0.12503438*((0.0011^2+0.002919037044)^(1/2)-0.0011) }

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