\( x ^ { 2 } + b x - 36 \)

Did you know the quadratic formula can be your best friend when solving equations like \(x^2 + bx - 36 = 0\)? You can find the roots using \(x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{2a}\). Here, \(a = 1\), \(b = b\), and \(c = -36\). It's a great way to discover the values of \(x\) that satisfy this equation, making it a powerful tool in algebra! When dealing with quadratics, remember to double-check your calculations! A common mistake is miscalculating the discriminant, \(b^2 - 4ac\). If it’s positive, you'll get two real solutions; if zero, one real solution; and if negative, no real solutions at all. Plus, be sure to factorize when possible, as it often simplifies finding roots!