4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x +...
-
Upload
deirdre-conley -
Category
Documents
-
view
212 -
download
0
Transcript of 4.8 Do Now: practice of 4.7 The area of a rectangle is 50. If the width is x and the length is x +...
4.8 Do Now: practice of 4.74.8 Do Now: practice of 4.7The area of a rectangle is 50. If the width isx and the length is x + 10. Solve for x bycompleting the square.
Algebra IIAlgebra II4.8: Quadratic Formula4.8: Quadratic Formula
HW: p.296 (16, 20, 32, 34)HW: p.296 (16, 20, 32, 34)
Test 4.5, 4.7, 4.8, word problems: Test 4.5, 4.7, 4.8, word problems: Wednesday, Nov. 5Wednesday, Nov. 5thth
Quadratic FormulaQuadratic Formula The quadratic formula is used to solve any The quadratic formula is used to solve any
quadratic equation. quadratic equation.
Quadratic Formula: If axQuadratic Formula: If ax22 + bx + c = 0, + bx + c = 0, thenthen
DiscriminantDiscriminant The discriminant = bThe discriminant = b22 – 4ac – 4ac
The value of the discriminant tells you how The value of the discriminant tells you how many solutions the quadratic equation has.many solutions the quadratic equation has. 0 0 1 real solution. 1 real solution. positive number positive number 2 real solutions. 2 real solutions. negative number negative number 2 imaginary solutions. 2 imaginary solutions.
Find the discriminant and Find the discriminant and determine the number of solutions.determine the number of solutions.
1.) x1.) x22 – 8x + 16 = 0 – 8x + 16 = 0
2.) 5x2.) 5x22 + 20x = -21 + 20x = -21
Use the Quadratic Formula to find Use the Quadratic Formula to find the solutions to the equation.the solutions to the equation.
1.) x1.) x22 – 4x – 5 = 0 – 4x – 5 = 0
Use the Quadratic Formula to find Use the Quadratic Formula to find the solutions to the equation.the solutions to the equation.
2.) 3 – 8v – 5v2.) 3 – 8v – 5v22 = 2v = 2v
4.8: Use the Quadratic Formula to 4.8: Use the Quadratic Formula to find the solutions to the equation.find the solutions to the equation.
3.) 4x3.) 4x22 + 3 = x + 3 = x22 – 7x – 7x
4.8: Use the Quadratic Formula to 4.8: Use the Quadratic Formula to find the solutions to the equation.find the solutions to the equation.
4.) 4x4.) 4x22 + 3x – 12 = 3 – 3x + 3x – 12 = 3 – 3x