8-4h/3(h-4)

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Solution for 8-4h/3(h-4) equation: 


h in (-oo:+oo)

8-(((4*h)/3)*(h-4)) = 0

(-4/3)*h*(h-4)+8 = 0

8-4/3*h*(h-4) = 0

8-4/3*h*(h-4) = 0

16/3*h-4/3*h^2+8 = 0

16/3*h-4/3*h^2+8 = 0

4*(4/3*h-1/3*h^2+2) = 0

4/3*h-1/3*h^2+2 = 0

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

DELTA = 40/9

DELTA > 0

h = ((40/9)^(1/2)-4/3)/(-1/3*2) or h = (-(40/9)^(1/2)-4/3)/(-1/3*2)

h = -3/2*((40/9)^(1/2)-4/3) or h = 3/2*((40/9)^(1/2)+4/3)

4*(h+3/2*((40/9)^(1/2)-4/3))*(h-3/2*((40/9)^(1/2)+4/3)) = 0

4*(h+3/2*((40/9)^(1/2)-4/3))*(h-3/2*((40/9)^(1/2)+4/3)) = 0

( 4 )

4 = 0

h belongs to the empty set

( h+3/2*((40/9)^(1/2)-4/3) )

h+3/2*((40/9)^(1/2)-4/3) = 0 // - 3/2*((40/9)^(1/2)-4/3)

h = -(3/2*((40/9)^(1/2)-4/3))

h = -3/2*((40/9)^(1/2)-4/3)

( h-3/2*((40/9)^(1/2)+4/3) )

h-3/2*((40/9)^(1/2)+4/3) = 0 // + -3/2*((40/9)^(1/2)+4/3)

h = -(-3/2*((40/9)^(1/2)+4/3))

h = 3/2*((40/9)^(1/2)+4/3)

h in { -3/2*((40/9)^(1/2)-4/3), 3/2*((40/9)^(1/2)+4/3) }

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