Verified Answer :

iloveonedirection

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

Edmund

\(n^2+7n+15=5\)

\(n^2+7n=-10\)

\(n^2+7n+(\frac{7}{2})^2=-10+(\frac{7}{2})^2\)

\(n^2+7n+\frac{49}{4}=-10+\frac{49}{4}\)

\((n+\frac{7}{2})^2=\frac{9}{4}\)

\(n+\frac{7}{2}=\sqrt{\frac{9}{4}}\)

\(n=-\frac{7}{2}+\sqrt{\frac{9}{4}}\)

\(n=-2\)
\(n=-5\)

Related Questions