# How do you use the discriminant to determine the nature of the solutions given #4x^2 + 12x = 14#?

##### 1 Answer

Therefore, the roots will be real and unequal

#### Explanation:

When you are solving a quadratic equation, it is very useful to know what sort of answer you will get. This can often help in determining which method to use - for example whether to look for factors or to use the quadratic formula.

A quadratic equation is written in the form

Always change to this form first

The discriminant is

The solutions to an equation are called the 'roots' and are referred to as

The value of

If

If

If

If

Note that if

Therefore, the roots will be real and unequal