91=(p^2-p)/2

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Solution for 91=(p^2-p)/2 equation:


p in (-oo:+oo)

91 = (p^2-p)/2 // - (p^2-p)/2

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

(-1*(p^2-p))/2+91 = 0

(-1*(p^2-p))/2+(2*91)/2 = 0

2*91-1*(p^2-p) = 0

p-p^2+182 = 0

p-p^2+182 = 0

p-p^2+182 = 0

DELTA = 1^2-(-1*4*182)

DELTA = 729

DELTA > 0

p = (729^(1/2)-1)/(-1*2) or p = (-729^(1/2)-1)/(-1*2)

p = -13 or p = 14

(p+13)*(p-14) = 0

((p+13)*(p-14))/2 = 0

((p+13)*(p-14))/2 = 0 // * 2

(p+13)*(p-14) = 0

( p+13 )

p+13 = 0 // - 13

p = -13

( p-14 )

p-14 = 0 // + 14

p = 14

p in { -13, 14 }

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