Lesson Solving Quadratic Equations Geometrically · Lesson: Solving Quadratics Geometrically . 1...

3
Worksheet Volume: Coordinate Geometry Get Your Basics Right! Foundation Course Lesson Solving Quadratic Equations Geometrically The Course "Get Your Basics Right" will focus on Basic Mathematics and Science Topics you should have mastered during your high school. This course will help you see how to integrate Mathematics with Sciences. Learn everything you wanted to but couldn't! All those times you caught yourself saying "I should have learnt this". This is your time in hand to go ahead and actually learn it. This will help you stay ahead! [email protected] www.laddereducation.com Ladder Educational Services

Transcript of Lesson Solving Quadratic Equations Geometrically · Lesson: Solving Quadratics Geometrically . 1...

Page 1: Lesson Solving Quadratic Equations Geometrically · Lesson: Solving Quadratics Geometrically . 1 Log-on to: & Download the Worksheet 2 Learn through the Video lectures & Try Solving

Worksheet

Volume: Coordinate Geometry

Get Your Basics Right! Foundation Course

Lesson Solving Quadratic Equations Geometrically

The Course "Get Your Basics Right" will focus on Basic

Mathematics and Science Topics you should have mastered during

your high school. This course will help you see how to integrate

Mathematics with Sciences.

Learn everything you wanted to but couldn't! All those times you

caught yourself saying "I should have learnt this". This is your time in

hand to go ahead and actually learn it. This will help you stay ahead!

[email protected]

www.laddereducation.com

Ladder Educational Services

Page 2: Lesson Solving Quadratic Equations Geometrically · Lesson: Solving Quadratics Geometrically . 1 Log-on to: & Download the Worksheet 2 Learn through the Video lectures & Try Solving

“Get Your Basics Right” | Lesson: Solving Quadratics Geometrically

1 Log-on to: www.laddereducation.com & Download the Worksheet 2 Learn through the Video lectures & Try Solving it

3 Work-along with on-line interactive class

Discuss Why the name QUADRATIC?

2

2

2

2

2

2

2

2

:1. 1002. ( 3) 1003. ( 4) 254. 4( 2) 16 05. ( 7) 9 06. ( 1) 57. ( 3) 498. 6 9 49

Solvex

xy

pxxx

x x

=

+ =

− =

+ − =

+ + =

− =

+ =

+ + =

Completing the Square Represent the quantity 2( 3)x + as the area of a square with two sides each of length ( 3)x + units. Select a value for the missing term to make each of these a perfect square. Discuss Assignment

2

2

9. 10 ?10. 8 ?

x xx x+ +

+ +

2

2

2

2

11. 20 ?12. 6 ?13. 300 ?14. 3 ?

x xx xx xx x

+ +

− +

+ +

+ +

Discuss Assignment

2

2

2

15. 7 ?

16. 5 ?117. ?2

x x

x x

x x

− +

+ +

+ +

2

2

2

2

2

18. 5 ?19. ?

120. ?3

21. 1.2 ?22. ?

x xx x

x x

x xx xπ

+ +

− +

+ +

− +

+ +

Discuss Solving Quadratic Equations

2

2

2

2

:23. 4 2124. 6 5525. 8 10 3026. 90 22 31

Solvex xx xx xw w

+ =

− =

+ + =

+ = −

Page 3: Lesson Solving Quadratic Equations Geometrically · Lesson: Solving Quadratics Geometrically . 1 Log-on to: & Download the Worksheet 2 Learn through the Video lectures & Try Solving

“Get Your Basics Right” | Lesson: Solving Quadratics Geometrically

1 Log-on to: www.laddereducation.com & Download the Worksheet 2 Learn through the Video lectures & Try Solving it

3 Work-along with on-line interactive class

Coefficients different from ONE Discuss Assignment

227. 3 4 1 0Solve

x x− + =

2

2

2

2

28. 4 12 5 029. 2 4 1 030. 5 2 3 031. 2 3 2 0

x xx xx xx x

− + =

+ − =

− − =

− − =

Avoid Fractions Discuss Assignment

2

2

2

32. 3 2 2033. 7 2 034. 2 6 1

Solvex xx x

y y

− + =

− + =

= +

2

2

2

2

2

2

35. 3 7 4 036. 2 3 7 137. 5 18 038. 3 4 039. 2 3 540. 10 10 1

x xx x

x xx xx xx x

+ + =

− + + =

− − =

+ − =

− =

− =

Extension Derive the Quadratic Formula…