Quadratic help with math: factoring.

Mathematics
Tutor: None Selected Time limit: 1 Day

I need help with this, I don't understand factoring at all. 4x2 – 19x 12, any help would be great. Please show step by step.

Jul 9th, 2015

Thank you for the opportunity to help you with your question!

 4x2 – 19x +12= 0  as quadratic equation is always equal to 0

direct factors are not possible here so we use quadratic formula

x =[ -b +- sqrt(b^2 -4*a*c)]/2a

in above

a= 4

b=-19

c=12

by putting values in quadratic formula

x =[ -(-19) +- sqrt((-19)^2 -4*4*12)]/2(4)

x=[ 19 +- sqrt(361 -192)]/8

so

x=[ 19 - sqrt(361 -192)]/8                         or                      x=[ 19 +sqrt(361 -192)]/8

x=[ 19 - 13]/8                                           or                      x=[ 19 +13]/8

x= 6/8                                                        or                     x= 32/8

x=3/4                                                          0r                     x= 4


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Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 9th, 2015

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