Answer: Two distinct real roots.
Step-by-step explanation:
Given a quadratic equation
, we can predict the type of solution by calculating the Discriminant (D):
![D=b^2-4ac](https://tex.z-dn.net/?f=D%3Db%5E2-4ac)
Identify a, b and c from
.
![a=5\\b=-2\\c=-3](https://tex.z-dn.net/?f=a%3D5%5C%5Cb%3D-2%5C%5Cc%3D-3)
Substitute into the formula of the Discriminant. Then:
![D=(-2)^2-4(5)(-3)\\D=64](https://tex.z-dn.net/?f=D%3D%28-2%29%5E2-4%285%29%28-3%29%5C%5CD%3D64)
The discriminant obtained is greater than zero.
When
the type of solution is: two distinct real roots.