Find all the values of n for which the equation has two real solutions. 2y +7y+(n+1)

Answer 1

y^2 + 7y + n+1

for 2 real solutions set the discriminant > 0

7^2 - 4(2)(n+1) > 0

49 - 8n - 8

= 41 - 8n

8n < 41

n < 41/8