Name:__________ warm-up 4-6

Solve x2 – 2x + 1 = 9 by using the Square Root Property.

Solve 4c2 + 12c + 9 = 7 by using the Square Root Property.

Find the value of c that makes the trinomial x2 + x + c a perfect square. Then write the trinomial as a perfect square.

Solve x2 + 2x + 24 = 0 by completing the square

Find the value(s) of k in x2 + kx + 100 = 0 that would make the left side of the equation a perfect square trinomial.

Details of the DayEQ:How do quadratic relations model real-world problems and their solutions?Depending on the situation, why is one method for solving a quadratic equation more beneficial than another?How do transformations help you to graph all functions?Why do we need another number set?

I will be able to…

Activities:Warm-upReview homeworkNotes: 4-6 Quadratic Formula and the DiscriminantClass work/ HW

Vocabulary:

•Quadratic Formula•discriminant

.

• Solve quadratic equations by

using the Quadratic Formula.• Use the discriminant to determine

the number and type of roots of a quadratic equation.

4-6 Quadratic Formula

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lopeS

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The Discriminant

A Quick Review Solve x2 – 2x + 1 = 9 by using the Square Root Property.

Solve 4c2 + 12c + 9 = 7 by using the Square Root Property.

Find the value of c that makes the trinomial x2 + x + c a perfect square. Then write the trinomial as a perfect square.

Solve x2 + 2x + 24 = 0 by completing the square

A Quick Review Find the value(s) of k in x2 + kx + 100 = 0 that would make the left side of the equation a perfect square trinomial.

Notes and examples

Solve x2 – 8x = 33 by using the Quadratic Formula

Notes and examplesSolve x2 + 13x = 30 by using the Quadratic Formula

Solve x2 – 34x + 289 = 0 by using the Quadratic Formula.

Notes and examplesSolve x2 – 22x + 121 = 0 by using the Quadratic Formula.

Solve x2 – 6x + 2 = 0 by using the Quadratic Formula.

Notes and examplesSolve x2 – 5x + 3 = 0 by using the Quadratic Formula.

Solve x2 + 13 = 6x by using the Quadratic

Formula.

Solve x2 + 5 = 4x by using the Quadratic Formula.

Notes and examples

Notes and examplesFind the value of the discriminant for x2 + 3x + 5 = 0. Then describe the number and type of roots for the equation

Find the value of the discriminant for x2 – 11x + 10 = 0. Then describe the number and type of roots for the equation.

Notes and examplesFind the value of the discriminant for x2 + 2x + 7 = 0. Describe the number and type of roots for the equation.

Find the value of the discriminant for x2 + 8x + 16 = 0. Describe the number and type of roots for the equation.

Notes and examples