Question

n^2+7n+15=5
show work please

Answer 1

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

Answer 2

$n^2+7n+15=5$

$n^2+7n=-10$

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

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

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

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

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

$n=-2$
$n=-5$