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

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


h in (-oo:+oo)

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

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

(-1/4)*h*(h-8)+21^2 = 0

441-1/4*h*(h-8) = 0

441-1/4*h*(h-8) = 0

2*h-1/4*h^2+441 = 0

2*h-1/4*h^2+441 = 0

2*h-1/4*h^2+441 = 0

DELTA = 2^2-(-1/4*4*441)

DELTA = 445

DELTA > 0

h = (445^(1/2)-2)/(-1/4*2) or h = (-445^(1/2)-2)/(-1/4*2)

h = -2*(445^(1/2)-2) or h = 2*(445^(1/2)+2)

(h+2*(445^(1/2)-2))*(h-2*(445^(1/2)+2)) = 0

(h+2*(445^(1/2)-2))*(h-2*(445^(1/2)+2)) = 0

( h+2*(445^(1/2)-2) )

h+2*(445^(1/2)-2) = 0 // - 2*(445^(1/2)-2)

h = -(2*(445^(1/2)-2))

h = -2*(445^(1/2)-2)

( h-2*(445^(1/2)+2) )

h-2*(445^(1/2)+2) = 0 // + -2*(445^(1/2)+2)

h = -(-2*(445^(1/2)+2))

h = 2*(445^(1/2)+2)

h in { -2*(445^(1/2)-2), 2*(445^(1/2)+2) }

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