To solve the quadratic equation , you can use the quadratic formula: , where and . Plugging in the values gives us . This results in two solutions: and .

It’s interesting to note that quadratic equations like this have been studied for centuries, with the first known solutions dating back to ancient civilizations, like the Babylonians! They developed methods to solve quadratic equations long before the quadratic formula was formalized. So, you’re engaging in a mathematical tradition that goes way back in history!

If you’re tackling quadratic equations, it’s super easy to mix up the signs when using the quadratic formula, especially when computing the discriminant. Always double-check your calculations and keep a close eye on your plus and minus signs! Also, remember that factoring can be a quicker option when numbers are friendly, so don’t hesitate to give that a whirl before resorting to the formula!