Answer:
D < 0 So, it would have 2 imaginary roots.
Step-by-step explanation:
Given : n(7n + 8) = -10.
To find : State the value of the discriminant. Then determine the number of real roots of the equation.
Solution : We have given n(7n + 8) = -10.
On distributing n over (7n + 8).
7 n² + 8n = -10.
On adding 10 both side to make it in standard form ax² + bx + c = 0.
7 n² + 8n + 10 = 0.
Discriminant = b² - 4ac.
Here a = 7 , b= 8 , c = 10.
Discriminant = 8² - 4(7)(10).
D = 64 - 280.
D = - 216
H ere, D < 0 So, it would have 2 imaginary roots.
Therefore, D < 0 So, it would have 2 imaginary roots.
