21=(1/2)(h-8)h/2

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Solution for 21=(1/2)(h-8)h/2 equation: 


h in (-oo:+oo)

21 = ((1/2)*h*(h-8))/2 // - ((1/2)*h*(h-8))/2

21-(((1/2)*h*(h-8))/2) = 0

(-1/4)*h*(h-8)+21 = 0

21-1/4*h*(h-8) = 0

21-1/4*h*(h-8) = 0

2*h-1/4*h^2+21 = 0

2*h-1/4*h^2+21 = 0

2*h-1/4*h^2+21 = 0

DELTA = 2^2-(-1/4*4*21)

DELTA = 25

DELTA > 0

h = (25^(1/2)-2)/(-1/4*2) or h = (-25^(1/2)-2)/(-1/4*2)

h = -6 or h = 14

(h+6)*(h-14) = 0

(h+6)*(h-14) = 0

( h+6 )

h+6 = 0 // - 6

h = -6

( h-14 )

h-14 = 0 // + 14

h = 14

h in { -6, 14 }

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