lesson solving quadratic equations geometrically · lesson: solving quadratics geometrically . 1...
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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!
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“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
+ =
− =
+ + =
+ = −
“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…
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