How do you solve #5x^2+64=0#?
This can be solved using the quadratic formula.
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
Now, we can plug in the values of a, b, and c.
We simplify to get:
When we simplify, the two x values are: