((p^2-p)/2)-171=0

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Solution for ((p^2-p)/2)-171=0 equation:


p in (-oo:+oo)

(p^2-p)/2-171 = 0

(p^2-p)/2+(-171*2)/2 = 0

p^2-p-171*2 = 0

p^2-p-342 = 0

p^2-p-342 = 0

p^2-p-342 = 0

DELTA = (-1)^2-(-342*1*4)

DELTA = 1369

DELTA > 0

p = (1369^(1/2)+1)/(1*2) or p = (1-1369^(1/2))/(1*2)

p = 19 or p = -18

(p+18)*(p-19) = 0

((p+18)*(p-19))/2 = 0

((p+18)*(p-19))/2 = 0 // * 2

(p+18)*(p-19) = 0

( p+18 )

p+18 = 0 // - 18

p = -18

( p-19 )

p-19 = 0 // + 19

p = 19

p in { -18, 19 }

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