c) \( x^{2}-2 x-8=0 \)

Did you know that this quadratic equation can be solved using the quadratic formula? You simply plug the coefficients \(a = 1\), \(b = -2\), and \(c = -8\) into the formula \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\). By doing the calculations, you’ll find two solutions, which gives you the values of \(x\) where the equation holds true! Here’s a quick tip: always double-check your signs and calculations when using the formula. Common mistakes include miscalculating the discriminant or flipping the sign on \(b\). A fun way to avoid this is to write out each step, like a recipe, so you can catch any ‘oopsies’ before reaching the final solution!