4.3=x^2/(2-2x)

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Solution for 4.3=x^2/(2-2x) equation: 


D( x )

2-(2*x) = 0

2-(2*x) = 0

2-(2*x) = 0

2-2*x = 0

2-2*x = 0 // - 2

-2*x = -2 // : -2

x = -2/(-2)

x = 1

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

4.3 = (x^2)/(2-(2*x)) // - (x^2)/(2-(2*x))

4.3-((x^2)/(2-(2*x))) = 0

4.3-((x^2)/(2-2*x)) = 0

(-1*x^2)/(2-2*x)+4.3 = 0

(-1*x^2)/(2-2*x)+(4.3*(2-2*x))/(2-2*x) = 0

4.3*(2-2*x)-1*x^2 = 0

8.6-x^2-8.6*x = 0

8.6-x^2-8.6*x = 0

8.6-x^2-8.6*x = 0

DELTA = (-8.6)^2-(-1*4*8.6)

DELTA = 8.6^2+34.4

DELTA = 108.36

DELTA > 0

x = ((8.6^2+34.4)^(1/2)+8.6)/(-1*2) or x = (8.6-(8.6^2+34.4)^(1/2))/(-1*2)

x = ((8.6^2+34.4)^(1/2)+8.6)/(-2) or x = (8.6-(8.6^2+34.4)^(1/2))/(-2)

(x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)))*(x-((8.6-(8.6^2+34.4)^(1/2))/(-2))) = 0

((x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)))*(x-((8.6-(8.6^2+34.4)^(1/2))/(-2))))/(2-2*x) = 0

((x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)))*(x-((8.6-(8.6^2+34.4)^(1/2))/(-2))))/(2-2*x) = 0 // * 2-2*x

(x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)))*(x-((8.6-(8.6^2+34.4)^(1/2))/(-2))) = 0

( x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)) )

x-(((8.6^2+34.4)^(1/2)+8.6)/(-2)) = 0 // + ((8.6^2+34.4)^(1/2)+8.6)/(-2)

x = ((8.6^2+34.4)^(1/2)+8.6)/(-2)

( x-((8.6-(8.6^2+34.4)^(1/2))/(-2)) )

x-((8.6-(8.6^2+34.4)^(1/2))/(-2)) = 0 // + (8.6-(8.6^2+34.4)^(1/2))/(-2)

x = (8.6-(8.6^2+34.4)^(1/2))/(-2)

x in { ((8.6^2+34.4)^(1/2)+8.6)/(-2), (8.6-(8.6^2+34.4)^(1/2))/(-2) }

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