(1) \( x^{2}+5 x-36= \)

To solve the quadratic equation \( x^{2}+5x-36=0 \), you can factor or use the quadratic formula. In this case, the quadratic factors neatly into \( (x+9)(x-4) = 0 \), giving solutions \( x = -9 \) and \( x = 4 \). Simple, right? Just remember to set each factor equal to zero to find those magical values of \( x \)! In real-world scenarios, quadratic equations pop up in various fields such as physics for projectile motion or in business for maximizing profits. Whenever you're dealing with a scenario that involves relationships between variables where one variable is squared, you can bet a quadratic equation is lurking around and waiting to help you find solutions!