# How do you solve the following Quadratic Inequality #x^2+2x-15<0#?

##### 1 Answer

The solution is

#### Explanation:

There are more than one ways to solve this inequality.

*Solution*

Since

The product of two real numbers can be negative if one of them is positive and another is negative.

Therefore, we have two solutions:

The case

The case

So, the solution is

*Solution*

As we know, the graph of the quadratic polynomial on the left is **parabola**. Since the coefficient at

Therefore, the only way it can be negative is in-between its roots, where it's equal to zero.

In other words, the solutions to a inequality is the area between solutions to equality

Obvious solutions are

So, the solutions are