(3-x)=(9-x)^(1/2)

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Solution for (3-x)=(9-x)^(1/2) equation:


D( x )

9-x < 0

9-x < 0

9-x < 0

9-x < 0

-x < -9 // * -1

x > 9

x in (-oo:9>

3-x = (9-x)^(1/2) // - (9-x)^(1/2)

3-(9-x)^(1/2)-x = 0

-(9-x)^(1/2) = 3-x // - 3-x

-(9-x)^(1/2) = -(3-x) // ^ 2

abs(9-x) = (-(3-x))^2 // - (-(3-x))^2

abs(9-x)-(-(3-x))^2 = 0

x in (-oo:+oo)

abs(9-x)

9-x >= 0

9-x >= 0

-x >= -9 // * -1

x <= 9

x in (-oo:9>

9-(-(3-x))^2-x = 0

x in (9:+oo)

x-(-(3-x))^2-9 = 0

abs(9-x)-(-(3-x))^2 = 0

/ | 9-(-(3-x))^2-x = 0 i x in (-oo:9> | x-(-(3-x))^2-9 = 0 i x in (9:+oo)

x in (-oo:9>

9-(-(3-x))^2-x = 0

9-1*(x-3)^2-x = 0

9-1*(x-3)^2-x = 0

5*x-x^2-9+9 = 0

5*x-x^2 = 0

5*x-x^2 = 0

x*(5-x) = 0

5-x = 0 // - 5

-x = -5 // * -1

x = 5

x*(x-5) = 0

x*(x-5) = 0

( x-5 )

x-5 = 0 // + 5

x = 5

( x )

x = 0

x in (9:+oo)

x-(-(3-x))^2-9 = 0

x-1*(x-3)^2-9 = 0

x-1*(x-3)^2-9 = 0

7*x-x^2-9-9 = 0

7*x-x^2-18 = 0

7*x-x^2-18 = 0

7*x-x^2-18 = 0

DELTA = 7^2-(-18*(-1)*4)

DELTA = -23

DELTA < 0

1 = 0

1 = 0

x in { 5, 0 }

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