Algebra Academy, Chapter 9
Solving a Complicated Equation
Name: ___________________________
Date: ________________ Per: _______
We learned yesterday, that when you cannot factor you can complete the square to solve a
quadratic equation. You can also use the Quadratic Formula.
The Quadratic Formula
𝒂𝑥 2 + 𝒃𝑥 + 𝒄 = 0
The equations below are what you get after plugging 𝑎, 𝑏, 𝑎𝑛𝑑 𝑐 into the quadratic. Solve from here:
1. 𝑥 =
−(9) ± √(9)2 −4(2)(−5)
2(2)
2(1)
±
𝑥=
±
𝑥=
±
𝑥=
𝑥=
+
𝑥=
,
𝑥=
−(−5)±√(−5)2 −4(1)(−14)
±
𝑥=
3. 𝑥 =
2. 𝑥 =
–
,
𝑥 = ________ and ________
−(2) ± √(2)2 −4(1)(−5)
𝑥=
+
𝑥=
,
4. 𝑥 =
2(1)
±
–
,
𝑥 = ________ and ________
−(−6) ± √(−6)2 −4(3)(−5)
𝑥=
2(3)
±
±
±
𝑥=
𝑥=
𝑥=
+
𝑥=
,
,
–
𝑥=
𝑥 = __________ and __________
𝑥=
+
,
,
–
𝑥 = __________ and __________