17) \( x^{2}+x-30 \)

Did you know that the quadratic equation \( x^{2}+x-30 \) can be solved using a method called factoring? You simply need to express it as \( (x - 5)(x + 6) = 0 \). This makes it easier to find the roots of the equation, which are \( x = 5 \) and \( x = -6 \). Factoring can often be a fun puzzle to solve! Another exciting avenue is the application of the quadratic formula, which is \( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \). For our equation, plug in \( a = 1 \), \( b = 1 \), and \( c = -30 \). You'll find that it also leads you to the same solutions: \( x = 5 \) and \( x = -6 \). This formula is like a magic key that unlocks any quadratic equation!