name:__________ warm-up 4-6 solve x 2 – 2x + 1 = 9 by using the square root property. solve 4c 2 +...
TRANSCRIPT
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
SlopeSlopeSlopeSlopeSlopeSlopeSlopeSlope
SlopeSlopelopeSloeSlopeSlopeSlopeSlope
Slo
peSlo
peSlo
peSlo
peSlo
peS
lopeS
lopeS
lop
eSlo
pe
Slo
peSlo
peSlo
peSlo
peSlo
peS
lopeS
lopeS
lop
eSlo
pe
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