the quadratic formula...1.8_quadratic formula and the discriminant.notebook 2 october 10, 2013 oct 9...
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1.8_quadratic formula and the discriminant.notebook
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October 10, 2013
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1.8: Solving Quadratic Equations by the quadratic
formula and the discriminant
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THE QUADRATIC FORMULA
• When a quadratic equation is in standard form:
• use to find your solutions/roots/zeros
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WHY USE THE QUADRATIC FORMULA?
The quadratic formula allows you to solve ANY quadratic equation, even if you cannot factor it.
An important piece of the quadratic formula is what‛s under the radical: b2 – 4ac
This piece is called the discriminant.
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WHY IS THE DISCRIMINANT IMPORTANT?
The discriminant tells you the number and types of solutions (roots) you will get.
The discriminant can be +, –, or 0
If the discriminant is positive, there will be two real solutions
If the discriminant is negative, there will be i's in your answer
If the discriminant is 0, then there is one real solution
If the
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Review:
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Example #1Find the value of the discriminant and describe the nature of the roots (real,imaginary, rational, irrational) of each quadratic equation. Then solve the equation using the quadratic formula
1.8_quadratic formula and the discriminant.notebook
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October 10, 2013
Oct 91:41 PM Oct 910:45 AM
Solve the following using the quadratic formula. Tell what kind of solution the quadtratic has (rational, irrational, imaginary)
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Oct 910:44 AM Oct 910:44 AM