# How do you solve #5x^2+64=0#?

##### 1 Answer

This can be solved using the quadratic formula.

#### Explanation:

While there are many ways to solve quadratic equations like this one, the quadratic formula is one of the simplest.

The quadratic formula looks like this:

To use this equation, we simply plug in the values given in the problem. To find these values, we must acknowledge that a quadratic equation looks like this:

Once we know this, we can determine that our equation has an *a* value of 5, because it is multiplied by *b* value must be zero, because none is given. If a number (x) is multiplied by zero, it will disappear. Finally, the *c* value must be 64, because it is not multiplied by any *x* value.

Now, we can plug in the values of *a, b,* and *c*.

We simplify to get:

The

When we simplify, the two x values are: