Problem: 2x^2-3x-5=0
-b ± sqrt(b² - 4*a*c)
x = ---------------------------
2a
-(-3) ± sqrt(-3² - 4*2*(-5))
x = ----------------------------------
2(2)
3 ± sqrt(9 - (-40))
x = -------------------------
4
3 ± sqrt(9 + 40)
x = ----------------------
4
3 ± sqrt(49)
x = ------------------
4
3 ± 7
x = ----------
4
3 + 7 3 - 7
x = ---------- and x = ----------
4 4
10 -4
x = ------ and x = ------
4 4
x = 2.5 and x = -1