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

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Solution for (2-x^2)/(1-2x)0 equation:


D( x )

1-(2*x) = 0

1-(2*x) = 0

1-(2*x) = 0

1-2*x = 0

1-2*x = 0 // - 1

-2*x = -1 // : -2

x = -1/(-2)

x = 1/2

x in (-oo:1/2) U (1/2:+oo)

(2-x^2)/(1-(2*x)) > 0

(2-x^2)/(1-2*x) > 0

( 1-2*x )

1-2*x > 0 // - 1

-2*x > -1 // : -2

x < -1/(-2)

x < 1/2

( 2-x^2 )

-1*x^2 > -2

-1*x^2 > -2 // * -1

1*x^2 < 2

1*x^2 < 2 // : 1

x^2 < 2/1

x^2 < 2

x^2 < 2 // ^ 1/2

abs(x) < 2^(1/2)

x in (-2^(1/2):2^(1/2))

(-oo:-2^(1/2)) (-2^(1/2):1/2) (1/2:2^(1/2)) (2^(1/2):+oo) 1-2*x + + - - 2-x^2 - + + -

x in (-2^(1/2):1/2) U (2^(1/2):+oo)

(-2^(1/2):1/2) U (2^(1/2):+oo)

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