# How do you find the discriminant, describe the number and type of root, and find the exact solution using the quadratic formula given #3x+6=-6x^2#?

##### 1 Answer

#### Explanation:

The equation

In an equation

It is apparent that root mainly depend on the nature of

Assuming that **type of roots are decided by the discriminant**

If

If **perfect square** (of course **rational** and can be easily determined by the usual method of splitting the middle term and factorizing

If **real**.

If **complex**. Note that if along with

In the given example,

and