-(n^2-11n)/(14)=2

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Solution for -(n^2-11n)/(14)=2 equation:


n in (-oo:+oo)

-((n^2-(11*n))/14) = 2 // - 2

-((n^2-(11*n))/14)-2 = 0

-((n^2-11*n)/14)-2 = 0

(-1*(n^2-11*n))/14-2 = 0

(-1*(n^2-11*n))/14+(-2*14)/14 = 0

-1*(n^2-11*n)-2*14 = 0

11*n-n^2-28 = 0

11*n-n^2-28 = 0

11*n-n^2-28 = 0

DELTA = 11^2-(-28*(-1)*4)

DELTA = 9

DELTA > 0

n = (9^(1/2)-11)/(-1*2) or n = (-9^(1/2)-11)/(-1*2)

n = 4 or n = 7

(n-4)*(n-7) = 0

((n-4)*(n-7))/14 = 0

((n-4)*(n-7))/14 = 0 // * 14

(n-4)*(n-7) = 0

( n-4 )

n-4 = 0 // + 4

n = 4

( n-7 )

n-7 = 0 // + 7

n = 7

n in { 4, 7 }

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