Solve the equation:

\[ n^2 + 7n + 15 = 5 \]

Show your work.

n^2+7n+15=5 n^2 + 7n + 10 = 0 (n + 5)(n + 2) = 0 n + 5 = 0 n = -5 n + 2 = 0 n = -2
Answer: n = -5 and -2

Answered by iloveonedirection | 2024-06-10

n 2 + 7 n + 15 = 5
n 2 + 7 n = − 10
n 2 + 7 n + ( 2 7 ​ ) 2 = − 10 + ( 2 7 ​ ) 2
n 2 + 7 n + 4 49 ​ = − 10 + 4 49 ​
( n + 2 7 ​ ) 2 = 4 9 ​
n + 2 7 ​ = 4 9 ​ ​
n = − 2 7 ​ + 4 9 ​ ​
n = − 2 n = − 5

Answered by Edmund | 2024-06-10

The solutions to the equation n 2 + 7 n + 15 = 5 are n = − 5 and n = − 2 . We simplified the equation, factored it, and found the roots. This illustrates how to solve a quadratic equation using factoring.
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Answered by iloveonedirection | 2024-12-23