Question

Solve by splitting the middle term -n2+5n+14

Answer 1

${ - n}^{2} + 5n + 14 = 0$

divide both side with. -1

n^2 -5n -14=0

n^2 -7n+2n-14=0

n(n-7) +2(n-7)=0

(n+2) (n-7) =0

n= -2 and n= 7

this is correct solution

Answer 2

Answer:

$- {n}^{2} + 5n + 14 = 0 \\ \\ multiplying \: by \: - 1 \\ \\ {n}^{2} - 5n - 14 = 0 \\ \\ {n}^{2} + 2n - 7n - 14 = 0 \\ \\ n(n + 2) - 7(n + 2) \\ \\ (n + 2) \: \: (n - 7) = 0 \\ \\ n = - 2 \: \: \: or \: \: \: n = 7$

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