4.4=x^2/(1-x)^2

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Solution for 4.4=x^2/(1-x)^2 equation: 


D( x )

(1-x)^2 = 0

(1-x)^2 = 0

(1-x)^2 = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

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

4.4 = (x^2)/((1-x)^2) // - (x^2)/((1-x)^2)

4.4-((x^2)/((1-x)^2)) = 0

(-1*x^2)/((1-x)^2)+4.4 = 0

(-1*x^2)/((1-x)^2)+(4.4*(1-x)^2)/((1-x)^2) = 0

4.4*(1-x)^2-1*x^2 = 0

3.4*x^2-8.8*x+4.4 = 0

3.4*x^2-8.8*x+4.4 = 0

3.4*x^2-8.8*x+4.4 = 0

DELTA = (-8.8)^2-(3.4*4*4.4)

DELTA = 8.8^2-59.84

DELTA = 17.6

DELTA > 0

x = ((8.8^2-59.84)^(1/2)+8.8)/(2*3.4) or x = (8.8-(8.8^2-59.84)^(1/2))/(2*3.4)

x = 0.14705882*((8.8^2-59.84)^(1/2)+8.8) or x = 0.14705882*(8.8-(8.8^2-59.84)^(1/2))

(x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)))*(x-0.14705882*((8.8^2-59.84)^(1/2)+8.8)) = 0

((x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)))*(x-0.14705882*((8.8^2-59.84)^(1/2)+8.8)))/((1-x)^2) = 0

((x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)))*(x-0.14705882*((8.8^2-59.84)^(1/2)+8.8)))/((1-x)^2) = 0 // * (1-x)^2

(x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)))*(x-0.14705882*((8.8^2-59.84)^(1/2)+8.8)) = 0

( x-0.14705882*((8.8^2-59.84)^(1/2)+8.8) )

x-0.14705882*((8.8^2-59.84)^(1/2)+8.8) = 0 // + -0.14705882*((8.8^2-59.84)^(1/2)+8.8)

x = -(-0.14705882*((8.8^2-59.84)^(1/2)+8.8))

x = 0.14705882*((8.8^2-59.84)^(1/2)+8.8)

( x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)) )

x-0.14705882*(8.8-(8.8^2-59.84)^(1/2)) = 0 // + -0.14705882*(8.8-(8.8^2-59.84)^(1/2))

x = -(-0.14705882*(8.8-(8.8^2-59.84)^(1/2)))

x = 0.14705882*(8.8-(8.8^2-59.84)^(1/2))

x in { 0.14705882*((8.8^2-59.84)^(1/2)+8.8), 0.14705882*(8.8-(8.8^2-59.84)^(1/2)) }

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