Solve $LaTeX: \displaystyle x^{2} + x - 2=0$

Since $LaTeX: \displaystyle a=1$ we need to find factors of $LaTeX: \displaystyle -2$ that add up to $LaTeX: \displaystyle 1$ . The factors are $LaTeX: \displaystyle -1$ and $LaTeX: \displaystyle 2$ . This gives $LaTeX: \displaystyle (x - 1)(x + 2)=0$ . The solutions are $LaTeX: \displaystyle x = 1$ and $LaTeX: \displaystyle x = -2$