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Solving Quadratic Equations Using the Quadratic Formula
The Quadratic Formula:
 b  b 2  4ac
If ax + bx + c = 0, then x =
or
2a
2
−𝑏
2𝑎
±
√𝑏2 −4𝑎𝑐
2𝑎
Solve each quadratic equation using the Quadratic Formula. Leave
irrational answers in simplified radical form.
1. x2 - 12 = 4x
solution:__________
1st: Set Equation = 0… ax2 + bx + c = 0
2nd: Find the Discriminant Value (b2 – 4ac)… the
number that goes inside the radical
3rd: Simplify the radical
4th: Fill in your formula with the a, b and
simplified radical
5th: Simplify the answer if possible
The Quadratic Formula can be used to solve any
quadratic equation. Sometimes it is the only way
to solve!!
2. 5x2 - 4x - 2 = 0
solution: __________
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3. 2x2 = 4x - 1
solution: ___________
4. 4x2 + 5x = 2
solution: ___________
5. 2x2 + 4x = x2 - 8x – 25
solution: ___________