\( \frac { - b \pm \sqrt { 6 ^ { 2 } - 7 - a c } } { 2 q } \)

Did you know that this expression looks a lot like the quadratic formula? The quadratic formula helps you find the solutions to any quadratic equation of the form \( ax^2 + bx + c = 0 \). In this case, you have a playful twist with variables \( a \), \( b \), \( c \), and \( q \), showing how you can adapt the formula for different contexts or problems! When working with expressions like this, a common mistake is mismanaging the order of operations. Always remember to resolve what's under the square root first before addressing the rest of the expression. For example, ensuring your calculations for \( 6^2 - 7 - ac \) are accurate can save you from missteps that lead to incorrect answers!