emilyhoang12121
Answered

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

Sagot :

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
[tex]n^2+7n+15=5[/tex]

[tex]n^2+7n=-10[/tex]

[tex]n^2+7n+(\frac{7}{2})^2=-10+(\frac{7}{2})^2[/tex]

[tex]n^2+7n+\frac{49}{4}=-10+\frac{49}{4}[/tex]

[tex](n+\frac{7}{2})^2=\frac{9}{4}[/tex]

[tex]n+\frac{7}{2}=\sqrt{\frac{9}{4}}[/tex]

[tex]n=-\frac{7}{2}+\sqrt{\frac{9}{4}}[/tex]

[tex]n=-2[/tex]
[tex]n=-5[/tex]
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