n² + 5n + 4 = 0
Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.
n =
n² + 5n + 4 = 0 Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas. n =
Share
To solve the quadratic equation ( n^2 + 5n + 4 = 0 ), we can factor the equation. We are looking for two numbers that multiply to ( 4 ) (the constant term) and add to ( 5 ) (the coefficient of ( n )). The numbers ( 1 ) and ( 4 ) meet these criteria.
So we can factor the equation as follows:
[
(n + 1)(n + 4) = 0
]
Now, set each factor equal to zero:
1. ( n + 1 = 0 ) → ( n = -1 )
2. ( n + 4 = 0 ) → ( n = -4 )
Thus, the solutions to the equation are:
[
n = -1, -4
]
These are the integer solutions of the equation. If you would like more help or in-depth assistance, feel free to check our extended services page!