(x^2)/((4-x)(1-x))=7,9*10^-3

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Solution for (x^2)/((4-x)(1-x))=7,9*10^-3 equation: 


D( x )

(4-x)*(1-x) = 0

(4-x)*(1-x) = 0

(4-x)*(1-x) = 0

( 1-x )

1-x = 0 // - 1

-x = -1 // * -1

x = 1

( 4-x )

4-x = 0 // - 4

-x = -4 // * -1

x = 4

x in (-oo:1) U (1:4) U (4:+oo)

(x^2)/((4-x)*(1-x)) = 7.9*10^-3 // - 7.9*10^-3

(x^2)/((4-x)*(1-x))-(7.9*10^-3) = 0

(x^2)/((4-x)*(1-x))-7.9*10^-3 = 0

(x^2)/((4-x)*(1-x))-0.0079 = 0

(x^2)/((4-x)*(1-x))+(-0.0079*(4-x)*(1-x))/((4-x)*(1-x)) = 0

x^2-0.0079*(4-x)*(1-x) = 0

0.9921*x^2+0.0395*x-0.0316 = 0

0.9921*x^2+0.0395*x-0.0316 = 0

0.9921*x^2+0.0395*x-0.0316 = 0

DELTA = 0.0395^2-(-0.0316*0.9921*4)

DELTA = 0.0395^2+0.12540144

DELTA = 0.12696169

DELTA > 0

x = ((0.0395^2+0.12540144)^(1/2)-0.0395)/(0.9921*2) or x = (-(0.0395^2+0.12540144)^(1/2)-0.0395)/(0.9921*2)

x = 0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395) or x = -0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395)

(x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395))*(x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)) = 0

((x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395))*(x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)))/((4-x)*(1-x)) = 0

((x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395))*(x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)))/((4-x)*(1-x)) = 0 // * (4-x)*(1-x)

(x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395))*(x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)) = 0

( x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395) )

x+0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395) = 0 // - 0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395)

x = -(0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395))

x = -0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395)

( x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395) )

x-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395) = 0 // + -0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)

x = -(-0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395))

x = 0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395)

x in { -0.50398145*((0.0395^2+0.12540144)^(1/2)+0.0395), 0.50398145*((0.0395^2+0.12540144)^(1/2)-0.0395) }

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