1/2(h+8)(h)=24

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Solution for 1/2(h+8)(h)=24 equation: 


h in (-oo:+oo)

(1/2)*h*(h+8) = 24 // - 24

(1/2)*h*(h+8)-24 = 0

1/2*h*(h+8)-24 = 0

1/2*h*(h+8)-24 = 0

1/2*h^2+4*h-24 = 0

1/2*h^2+4*h-24 = 0

1/2*h^2+4*h-24 = 0

DELTA = 4^2-(-24*1/2*4)

DELTA = 64

DELTA > 0

h = (64^(1/2)-4)/(1/2*2) or h = (-64^(1/2)-4)/(1/2*2)

h = 4 or h = -12

(h+12)*(h-4) = 0

(h+12)*(h-4) = 0

( h+12 )

h+12 = 0 // - 12

h = -12

( h-4 )

h-4 = 0 // + 4

h = 4

h in { -12, 4 }

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