2b-(8-3b)^(1/2)

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Solution for 2b-(8-3b)^(1/2) equation:


D( b )

8-(3*b) < 0

8-(3*b) < 0

8-(3*b) < 0

8-3*b < 0

8-3*b < 0 // - 8

-3*b < -8 // : -3

b > -8/(-3)

b > 8/3

b in (-oo:8/3>

2*b-(8-(3*b))^(1/2) = 0

2*b-(8-3*b)^(1/2) = 0

-(8-3*b)^(1/2) = 2*b // - 2*b

-(8-3*b)^(1/2) = -(2*b) // ^ 2

abs(8-3*b) = (-(2*b))^2 // - (-(2*b))^2

abs(8-3*b)-(-(2*b))^2 = 0

b in (-oo:+oo)

abs(8-3*b)

8-3*b >= 0

8-3*b >= 0 // - 8

-3*b >= -8 // : -3

b <= -8/(-3)

b <= 8/3

b in (-oo:8/3>

8-(-(2*b))^2-3*b = 0

b in (8/3:+oo)

-(-(2*b))^2-(-3*b)-8 = 0

abs(8-3*b)-(-(2*b))^2 = 0

/ | 8-(-(2*b))^2-3*b = 0 i b in (-oo:8/3> | -(-(2*b))^2-(-3*b)-8 = 0 i b in (8/3:+oo)

b in (-oo:8/3>

8-(-(2*b))^2-3*b = 0

8-4*b^2-3*b = 0

DELTA = (-3)^2-(-4*4*8)

DELTA = 137

DELTA > 0

b = (137^(1/2)+3)/(-4*2) or b = (3-137^(1/2))/(-4*2)

b = (137^(1/2)+3)/(-8) or b = (3-137^(1/2))/(-8)

b in (8/3:+oo)

-(-(2*b))^2-(-3*b)-8 = 0

3*b-4*b^2-8 = 0

DELTA = 3^2-(-8*(-4)*4)

DELTA = -119

DELTA < 0

b in { (137^(1/2)+3)/(-8), (3-137^(1/2))/(-8) }

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