Question

homework assignment 2.5 quadratic equations due friday by 11:59pm points 15 submitting an external tool homework assignment 2.5 quadratic equations score: 6/15 answered: 6/15 question 7 solve 6n^2 + 13n + 2 = 0 by factoring. enter your answers below n =

Explanation:

Step1: Factor the quadratic

For the quadratic equation $6n^{2}+13n + 2=0$, we need to find two numbers that multiply to $6\times2 = 12$ and add up to 13. The numbers are 12 and 1.
Rewrite the middle - term: $6n^{2}+12n + n+2 = 0$.
Group the terms: $(6n^{2}+12n)+(n + 2)=0$.
Factor out the greatest common factor from each group: $6n(n + 2)+1(n + 2)=0$.
Then, $(6n + 1)(n+2)=0$.

Step2: Solve for n

Set each factor equal to zero:
If $6n+1 = 0$, then $6n=-1$, and $n=-\frac{1}{6}$.
If $n + 2=0$, then $n=-2$.

Answer:

$n=-\frac{1}{6},n=-2$