This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 11.2 Solving Quadratic Equations by Using the Quadratic Formula MartinGay, Beginning and Intermediate Algebra, 4ed 2 The Quadratic Formula Another technique for solving quadratic equations is to use the quadratic formula . The formula is derived from completing the square of a general quadratic equation. MartinGay, Beginning and Intermediate Algebra, 4ed 3 Quadratic Formula A quadratic equation written in the form, ax 2 + bx + c = 0, has the solutions a ac b b x 2 4 2  = The Quadratic Formula MartinGay, Beginning and Intermediate Algebra, 4ed 4 Solve 11 n 2 9 n = 1 by the quadratic formula. 11 n 2 9 n 1 = 0, so a = 11, b = 9, c = 1 2 9 ( 9) 4(11)( 1) 2(11) n  = 9 81 44 22 + = 9 125 22 = 9 5 5 22 = The Quadratic Formula Example: MartinGay, Beginning and Intermediate Algebra, 4ed 5 2 8 (8) 4(1)( 20) 2(1) x  = 8 64 80 2 + = 8 144 2 = 8 12 2 = 20 4 or , 10 or 2 2 2 = x 2 + 8 x 20 = 0 (multiply both sides by 8) a = 1, b = 8, c = 20...
View
Full
Document
This note was uploaded on 11/04/2011 for the course MATH 103 taught by Professor Alraban during the Fall '10 term at Montgomery College.
 Fall '10
 Alraban
 Math, Quadratic Formula, Equations

Click to edit the document details