21+x/2(52+x)

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Solution for 21+x/2(52+x) equation: 


x in (-oo:+oo)

(x/2)*(x+52)+21 = 0

1/2*x*(x+52)+21 = 0

1/2*x*(x+52)+21 = 0

1/2*x^2+26*x+21 = 0

1/2*x^2+26*x+21 = 0

1/2*x^2+26*x+21 = 0

DELTA = 26^2-(1/2*4*21)

DELTA = 634

DELTA > 0

x = (634^(1/2)-26)/(1/2*2) or x = (-634^(1/2)-26)/(1/2*2)

x = 634^(1/2)-26 or x = -(634^(1/2)+26)

(x+634^(1/2)+26)*(x-634^(1/2)+26) = 0

(x+634^(1/2)+26)*(x-634^(1/2)+26) = 0

( x+634^(1/2)+26 )

x+634^(1/2)+26 = 0 // - 634^(1/2)+26

x = -(634^(1/2)+26)

( x-634^(1/2)+26 )

x-634^(1/2)+26 = 0 // - 26-634^(1/2)

x = -(26-634^(1/2))

x = 634^(1/2)-26

x in { -(634^(1/2)+26), 634^(1/2)-26 }

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