Problem: x^2+3x-7=0
-b ± sqrt(b^2 - 4*a*c)
x = -----------------------------
2a
-3 ± sqrt(3^2 - 4*1*-7)
x = -----------------------------
2(1)
-3 ± sqrt(9 - (-28))
x = -------------------------
2
-3 ± sqrt(37)
x = -----------------
2
-3 ± 6.082
x = ---------------
2
-3 + 6.082 -3 - 6.082
x = --------------- and x = ---------------
2 2
3.082 -9.082
x = --------- and x = ---------
2 2
x = 1.541 and x = -4.541