y-2=(22-y)^(1/2)

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Solution for y-2=(22-y)^(1/2) equation:


D( y )

22-y < 0

22-y < 0

22-y < 0

22-y < 0

-y < -22 // * -1

y > 22

y in (-oo:22>

y-2 = (22-y)^(1/2) // - (22-y)^(1/2)

y-(22-y)^(1/2)-2 = 0

-(22-y)^(1/2) = y-2 // - y-2

-(22-y)^(1/2) = -(y-2) // ^ 2

abs(22-y) = (-(y-2))^2 // - (-(y-2))^2

abs(22-y)-(-(y-2))^2 = 0

y in (-oo:+oo)

abs(22-y)

22-y >= 0

22-y >= 0

-y >= -22 // * -1

y <= 22

y in (-oo:22>

22-(-(y-2))^2-y = 0

y in (22:+oo)

y-(-(y-2))^2-22 = 0

abs(22-y)-(-(y-2))^2 = 0

/ | 22-(-(y-2))^2-y = 0 i y in (-oo:22> | y-(-(y-2))^2-22 = 0 i y in (22:+oo)

y in (-oo:22>

22-(-(y-2))^2-y = 0

22-1*(2-y)^2-y = 0

22-1*(2-y)^2-y = 0

3*y-y^2-4+22 = 0

3*y-y^2+18 = 0

3*y-y^2+18 = 0

3*y-y^2+18 = 0

DELTA = 3^2-(-1*4*18)

DELTA = 81

DELTA > 0

y = (81^(1/2)-3)/(-1*2) or y = (-81^(1/2)-3)/(-1*2)

y = -3 or y = 6

(y+3)*(y-6) = 0

(y+3)*(y-6) = 0

( y+3 )

y+3 = 0 // - 3

y = -3

( y-6 )

y-6 = 0 // + 6

y = 6

y in (22:+oo)

y-(-(y-2))^2-22 = 0

y-1*(2-y)^2-22 = 0

y-1*(2-y)^2-22 = 0

5*y-y^2-22-4 = 0

5*y-y^2-26 = 0

5*y-y^2-26 = 0

5*y-y^2-26 = 0

DELTA = 5^2-(-26*(-1)*4)

DELTA = -79

DELTA < 0

1 = 0

1 = 0

y in { -3, 6 }

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