Quadratic Formula Examples and Tips
Quadratic equations by factoring or using the quadratic formula with detailed examples and explanations. Learn when to use the quadratic formula and get insights on discriminants. Enhance your math skills with practical exercises from Westerville South High School.
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Presentation Transcript
Warm Up #13 Solve by factoring: 1) 5?2+ 26? + 24 = 0 2) ?2+ 5? + 6 = 0
Quadratic Formula 2 4 b b 2 ac = x a
When to use the Quadratic Formula (anytime you want) Use the quadratic formula when you can t factor to solve a quadratic equation. (or when you re stuck on how to factor the equation.)
Examples 1. 3x2+8x=35 3x2+8x-35=0 a=3, b=8, c= -35 + 8 22 14 7 = = = x 6 6 3 ) 8 ( 3 ( 4 2 ) 8 ( )( 35 ) = x ) 3 ( 2 OR + 8 64 420 = x 6 8 22 30 8 484 = = = 5 x = x 6 6 6 8 22 = x 6
-2x2=-2x+3 * 1 2. -2x2+2x-3=0 a=-2, b=2, c= -3 2 4 * 5 = x 4 2 2 5 i = x ) 2 ( ( 4 ) 3 2 ) 2 ( 2 )( 4 = x ) 2 ( 2 2 2 5 i = x 2 4 24 4 4 = x 4 1 5 i 2 20 = x = x 2 2 4
Homework Any evens or odds You pick!!
Warm Up #14 Solve by using the Quadratic Formula: -7x2 5x +1 = 0
Lets Refresh from the past few days Do the Quad Solve By: Westerville South High School, Westerville, Ohio
Good review of Discriminates Quadratic Formulatic By: Jake Scott
