1. THE QUADRATIC FORMULA

2. WHAT IS IT FOR? The quadratic formula is used to solve
quadratic equations.
What is a quadratic equation?
What does it mean to solve?
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3. QUADRATIC EQUATIONS
To use the quadratic formula the equations must be in descending order equal to zero (aka Standard Form).
All quadratic equations can be written in this form where: a, b, and c are constants and “a” cannot be zero.
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4. OTHER EXAMPLES Here are some more examples of quadratic equations:
Notice in the last one that there is no c term.
This is not a mistake. Notice also that all quadratic
equations have a squared variable.
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5. USING THE QUADRATIC FORMULA TO SOLVE
Remember the quadratic formula shown earlier.
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6. USING THE FORMULA Look at the quadratic equation below and compare
it to the standard form of a quadratic equation.
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7. USING THE FORMULA
Simply list your a, b, and c values from your quadratic
equation and plug them into the quadratic formula.
a=1 (if there is no number before x2, assume a = 1).
b=5
c=6
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8. USING THE FORMULA
a=1
b=5
c=6
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9. USING THE FORMULA a=1 b=5 c=6
Replace a, b, and c in the formula and look what you have.
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10. USING THE FORMULA
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11. USING THE FORMULA
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12. Your Turn

14. Quadratic Formula 0 = 2y2 + 4y - 1 a = 2 b = 4 c = -1
-4, 2, and 4 are all three divisible by two and therefore can be reduced.

15. No Real Roots
Since there is no real number that is the square root of a negative number, this equation has no real roots.

16. THE QUADRATIC FORMULA