Student Activity: To solve a quadratic equation using the formula Use in connection with the Interactive file, 'Quadratic formula', on the Student's CD. a=1.3 -8 c3 Move sliders to change equation yax²+bx+c Current equation is y=1.3x² y=1.3x +6x+3 1. (-4.04,0) b=6 -6 -5 -3 -2 12- 10- 8 0.57,0) i 0 Click to see completed formula to solve the roots ✔Click to see final calculation of the 2 roots Root 1 (6)+(6) -4(1.3)(3)(6)+√(204) -(6)+(4.52) (2.6) 2 2(1.3) Root 2 3 (2.6) 5 b. By substituting into the formula x = for x. = = (6)-(20.4) (2.6) -(6)-(6)-4(1.3)(3) 2(1.3) Note when this file states the solution is undefined it means it is undefined in the Real numberline. ✓Click to see graph 6 -(6)-(4.52) (2.6) 7 8 =0.57 -b± √b²-4ac 2a 4.04 9 10 11 Maths South 12 13 14 a. Given that the equation 1x² + 5x + 4 = 0 is in the form ax² + bx + c = 0, what values have a, b and c? Project c. Use the interactive file to determine, where the graph of the function represented by the equation y= 1x² + 5x + 4 intersects the x axis. Team e. What is the name given to equations of the form ax² + bx + c = 0? solve the above equation 15 d. Is there any relationship between the solution (s) to the equation and where the graph of the function represented by the equation intersects the x axis? Draft 01 Project Maths Development Team 2011 Quadratic equation using the formula Page 1 of 5
Student Activity: To solve a quadratic equation using the formula Use in connection with the Interactive file, 'Quadratic formula', on the Student's CD. a=1.3 -8 c3 Move sliders to change equation yax²+bx+c Current equation is y=1.3x² y=1.3x +6x+3 1. (-4.04,0) b=6 -6 -5 -3 -2 12- 10- 8 0.57,0) i 0 Click to see completed formula to solve the roots ✔Click to see final calculation of the 2 roots Root 1 (6)+(6) -4(1.3)(3)(6)+√(204) -(6)+(4.52) (2.6) 2 2(1.3) Root 2 3 (2.6) 5 b. By substituting into the formula x = for x. = = (6)-(20.4) (2.6) -(6)-(6)-4(1.3)(3) 2(1.3) Note when this file states the solution is undefined it means it is undefined in the Real numberline. ✓Click to see graph 6 -(6)-(4.52) (2.6) 7 8 =0.57 -b± √b²-4ac 2a 4.04 9 10 11 Maths South 12 13 14 a. Given that the equation 1x² + 5x + 4 = 0 is in the form ax² + bx + c = 0, what values have a, b and c? Project c. Use the interactive file to determine, where the graph of the function represented by the equation y= 1x² + 5x + 4 intersects the x axis. Team e. What is the name given to equations of the form ax² + bx + c = 0? solve the above equation 15 d. Is there any relationship between the solution (s) to the equation and where the graph of the function represented by the equation intersects the x axis? Draft 01 Project Maths Development Team 2011 Quadratic equation using the formula Page 1 of 5
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.3: Solving Quadratic Equations By Graphing
Problem 35PPS
Related questions
Question
Pre calculus.
Solve.
Transcribed Image Text:Student Activity: To solve a quadratic equation using the formula
Use in connection with the Interactive file, 'Quadratic formula', on the Student's CD.
a=1.3
-8
c=3
F3
Move sliders to change equation
y=ax²+bx+c
Current equation is
y=1.3x² +6x+3
1.
b=6
(-4.04,0)
-6 -5
-3 -2
12-
10-
8
Click to see completed formula to solve the roots
(-0.57,0)
0 i
✔Click to see final calculation of the 2 roots
Root 1
(6)+(6)-4(1.3)(3)(6)+√(20.4)
2(1.3)
Root 2
2 3
(2.6)
=
(6)-(20.4) =
(2.6)
✓Click to see graph
b. By substituting into the formula x =
for x.
-(6)+(4.52)
(2.6)
-(6)-(6)-4(1.3)(3)
2(1.3)
Note when this file states the solution is undefined it means it is undefined in the Real numberline.
5 6 7 8
-(6)-(4.52)
(2.6)
= 0.57
9 10
-b± √b²-4ac
2a
4.04
11
Project
Maths
med Kir
Development Team
a. Given that the equation 1x² + 5x + 4 = 0 is in the form ax² + bx + c = 0, what
values have a, b and c?
12 13 14
c. Use the interactive file to determine, where the graph of the function
represented by the equation y= 1x² + 5x + 4 intersects the x axis.
solve the above equation
e. What is the name given to equations of the form ax² + bx + c = 0?
15
d. Is there any relationship between the solution (s) to the equation and where
the graph of the function represented by the equation intersects the x axis?
Draft 01 Project Maths Development Team 2011 Quadratic equation using the formula Page
1 of 5
Transcribed Image Text:6. What is/are the solution(s) of the equation x²+bx+c=0 represented by the graph
below?
N
(0.5, 0)
7. What is/are the solution(s) of the equation x²+bx+c=0 represented by the graph
below?
V
(-2,0)
-3
-1
-4
8. Draw a rough graph of a quadratic equation that has no real roots.
-1
0
(4,0)
0
Maths
Development Team
1
9. Explain in your own words what is meant by the solution of a quadratic equation
x²+bx+c=0.
Draft 01 Project Maths Development Team 2011 Quadratic equation using the formula Page
4 of 5
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