Use the quadratic formula to solve. Express your answer in simplest form.

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To solve the equation , first, move all terms to one side to form a quadratic equation: . Now, apply the quadratic formula , where , , and . Plugging these values in gives you .

Once you calculate the discriminant ( ), you find:
. This yields the solutions and .

Quadratic equations often pop up in real-life situations! For instance, the trajectory of a basketball shot can be modeled using a quadratic equation, helping coaches improve shooting techniques. It shows that math isn’t just numbers, but a tool to understand the world around us.

Also, when solving quadratic equations, a common pitfall is forgetting to set the equation to zero first. Always remember to consolidate all terms on one side before diving into the quadratic formula. This clean slate is essential for accurate solutions!