logging in or signing up Quadratic Equation joshsmith1110 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 4064 Category: Education License: All Rights Reserved Like it (2) Dislike it (0) Added: March 13, 2009 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... By: kangcute (19 month(s) ago) nice Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript QUADRATIC EQUATION : QUADRATIC EQUATION General Quadratic Formula Discriminant Nature of roots OBJECTIVE: : OBJECTIVE: At the end of the lesson, the students should be able to identify the nature of roots whether it is REAL, RATIONAL or IRRATIONAL, EQUAL or UNEQUAL and IMAGINARY. MOTIVATION: : MOTIVATION: Given the following examples of quadratic equation, give the values of a,b, and c. EXAMPLES: : EXAMPLES: 8X-45X2+3=0 12a2+6b+11=0 9x2+x+7=0 a b c -45 8 3 12 6 11 9 1 7 Slide 5: What is a QUADRATIC EQUATION A QUADRATIC EQUATION is an equation containing one or more terms raised to the power of two but not higher, or it is simply an equation with the highest power of two. : A QUADRATIC EQUATION is an equation containing one or more terms raised to the power of two but not higher, or it is simply an equation with the highest power of two. PRESENTATION GENERAL QUADRATIC FORMULA : GENERAL QUADRATIC FORMULA X=-b ?b2-4ac 2a + - 1.) X2-8x+16=0 : 1.) X2-8x+16=0 a=1; b=-8; c=16 b2-4ac=(-8)2-4(1)(16) =64-64 b2-4ac=0 real, rational, equal 2.) 2x2+5x-3=0 : 2.) 2x2+5x-3=0 a= ? b= ? c= ? b2-4ac=52-4(2)(-3) =25+24 b2-4ac=49 Real, rational, unequal 3.) x2+5x+3=0 : 3.) x2+5x+3=0 b2-4ac=52-4(1)(3) =25-12 b2-4ac=13 real, irrational, unequal 4.) x2-x+2=0 : 4.) x2-x+2=0 b2-4ac=12-4(1)(2) =1-8 b2-4ac=-7 imaginary b2-4ac=0 – real, rational, equal. b2-4ac>0; perfect square –real, rational, unequal. b2-4ac>0; not a perfect square – real, irrational, unequal. b2-4ac<0 - imaginary : b2-4ac=0 – real, rational, equal. b2-4ac>0; perfect square –real, rational, unequal. b2-4ac>0; not a perfect square – real, irrational, unequal. b2-4ac<0 - imaginary Nature of Roots : THANK YOU Prepared By: Ifanelle B. Rafiñan Presented To: Mr. Salvador Salazar You do not have the permission to view this presentation. In order to view it, please contact the author of the presentation.
Quadratic Equation joshsmith1110 Download Post to : URL : Related Presentations : Share Add to Flag Embed Email Send to Blogs and Networks Add to Channel Uploaded from authorPOINT lite Insert YouTube videos in PowerPont slides with aS Desktop Copy embed code: (To copy code, click on the text box) Embed: URL: Thumbnail: WordPress Embed Customize Embed The presentation is successfully added In Your Favorites. Views: 4064 Category: Education License: All Rights Reserved Like it (2) Dislike it (0) Added: March 13, 2009 This Presentation is Public Favorites: 1 Presentation Description No description available. Comments Posting comment... By: kangcute (19 month(s) ago) nice Saving..... Post Reply Close Saving..... Edit Comment Close Premium member Presentation Transcript QUADRATIC EQUATION : QUADRATIC EQUATION General Quadratic Formula Discriminant Nature of roots OBJECTIVE: : OBJECTIVE: At the end of the lesson, the students should be able to identify the nature of roots whether it is REAL, RATIONAL or IRRATIONAL, EQUAL or UNEQUAL and IMAGINARY. MOTIVATION: : MOTIVATION: Given the following examples of quadratic equation, give the values of a,b, and c. EXAMPLES: : EXAMPLES: 8X-45X2+3=0 12a2+6b+11=0 9x2+x+7=0 a b c -45 8 3 12 6 11 9 1 7 Slide 5: What is a QUADRATIC EQUATION A QUADRATIC EQUATION is an equation containing one or more terms raised to the power of two but not higher, or it is simply an equation with the highest power of two. : A QUADRATIC EQUATION is an equation containing one or more terms raised to the power of two but not higher, or it is simply an equation with the highest power of two. PRESENTATION GENERAL QUADRATIC FORMULA : GENERAL QUADRATIC FORMULA X=-b ?b2-4ac 2a + - 1.) X2-8x+16=0 : 1.) X2-8x+16=0 a=1; b=-8; c=16 b2-4ac=(-8)2-4(1)(16) =64-64 b2-4ac=0 real, rational, equal 2.) 2x2+5x-3=0 : 2.) 2x2+5x-3=0 a= ? b= ? c= ? b2-4ac=52-4(2)(-3) =25+24 b2-4ac=49 Real, rational, unequal 3.) x2+5x+3=0 : 3.) x2+5x+3=0 b2-4ac=52-4(1)(3) =25-12 b2-4ac=13 real, irrational, unequal 4.) x2-x+2=0 : 4.) x2-x+2=0 b2-4ac=12-4(1)(2) =1-8 b2-4ac=-7 imaginary b2-4ac=0 – real, rational, equal. b2-4ac>0; perfect square –real, rational, unequal. b2-4ac>0; not a perfect square – real, irrational, unequal. b2-4ac<0 - imaginary : b2-4ac=0 – real, rational, equal. b2-4ac>0; perfect square –real, rational, unequal. b2-4ac>0; not a perfect square – real, irrational, unequal. b2-4ac<0 - imaginary Nature of Roots : THANK YOU Prepared By: Ifanelle B. Rafiñan Presented To: Mr. Salvador Salazar