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Misty Charnesky Week 7 Optional DQ2-participation

# Misty Charnesky Week 7 Optional DQ2-participation - =...

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Misty Charnesky Week 7 Optional DQ2-participation In the equation =- ± - x b b2 4ac2a …… - b2 4ac is considered the discriminant The discriminant can tell you how many solutions to the equation there are, whether the solutions are real numbers or nonreal complex-number solutions, and how many x-intercepts there are. If the value of - b2 4ac is equal to 0 , there is only one real number solution and one x- intercept. Example: let’s say a=1,b=2,c=1 =- ± - ( ) ( ) x 2 22 41 1 2 1 ….. substituting the values Now taking just the discriminant…. - = - = 22 411 4 4 0 ….there is only 1 real number solution and x- intercept, finishing out the equation… =- ± =- ± =- =- x 2 04 2 04 24 12 …….x-intercept is ( - , ) 12 0 If the value of - b2 4ac is equal to a positive number , there are two different real number solutions and two different x-intercepts Example: let’s say a=1,b=3, c=2
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Unformatted text preview: =- ±-( ) ( )…. . x 3 32 41 2 2 1 substituting the values Taking the discriminant of -= - = …… 32 412 9 8 1 2 possible real number solutions and two-…. x intercepts Finishing out the equation =- ±-( ) ( )=- ± x 3 32 41 2 2 1 3 12 =- ± = 3 12 =- - ….-- , ,- , x 1 or 2 which means the x intercepts would be 1 0 2 0if the check is true If the value of -, b2 4ac is a negative number then the solution is two , , -complex numbers which are not real numbers and no x intercept Example: let’s say a=1,b=2,c=3 =- ±-( ) ( )…. x 2 22 41 3 2 1 substituting the values The discriminant is -= -=- ……-22 413 4 12 8 there is no x intercept and the answer is complex Finishing out the equation… =- ±-=- ± =- ± x 2 82 2 2i22 1 i2 = - -x 1 i2 or = - + x 1 i2...
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