Using the quadratic formula, find the solution to . (1 point)
Check answer Remaining Attempts : 3

To solve the quadratic equation using the quadratic formula, first, we identify the coefficients: , , and . Plugging these values into the quadratic formula :

Thus, the solution to the equation is .

Now, let’s elaborate a bit on this!

To dive a bit deeper into the magic of the quadratic formula, note that when the discriminant is zero, it indicates that the graph of the quadratic touches the x-axis at exactly one point, meaning the vertex of the parabola is exactly at the x-intercept. It’s a nice little moment in math when solutions come together gracefully!

And if you’re curious about real-world applications, quadratic equations like this one can model a variety of situations, from projectile motion in physics (where the height of an object is a quadratic function of time) to maximizing profit in business scenarios. Understanding these equations can help you make informed decisions in various contexts! 🚀