1/2(g-8)(g-11)=35

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Solution for 1/2(g-8)(g-11)=35 equation: 


g in (-oo:+oo)

(1/2)*(g-8)*(g-11) = 35 // - 35

(1/2)*(g-8)*(g-11)-35 = 0

1/2*(g-8)*(g-11)-35 = 0

1/2*(g-8)*(g-11)-35 = 0

1/2*g^2-19/2*g+9 = 0

1/2*g^2-19/2*g+9 = 0

1/2*g^2-19/2*g+9 = 0

DELTA = (-19/2)^2-(1/2*4*9)

DELTA = 289/4

DELTA > 0

g = ((289/4)^(1/2)+19/2)/(1/2*2) or g = (19/2-(289/4)^(1/2))/(1/2*2)

g = 18 or g = 1

(g-1)*(g-18) = 0

(g-1)*(g-18) = 0

( g-1 )

g-1 = 0 // + 1

g = 1

( g-18 )

g-18 = 0 // + 18

g = 18

g in { 1, 18 }

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