joshoyen
  • joshoyen
HELP Solve by factoring. 5x^2+47x+56=0
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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xapproachesinfinity
  • xapproachesinfinity
use the ac method 5x56=280 find the factor of 280 that sum up to 47
joshoyen
  • joshoyen
hmm, im still confused :L
joshoyen
  • joshoyen
oh wait is it 7 x 40

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xapproachesinfinity
  • xapproachesinfinity
will any second degree poly can be written like a(x+b)(x+c) the goal here is to a,b,c
xapproachesinfinity
  • xapproachesinfinity
but ac method don't worry about a just b and c
xapproachesinfinity
  • xapproachesinfinity
yes that is correct
xapproachesinfinity
  • xapproachesinfinity
40x7=280 and 40+7=47 good
xapproachesinfinity
  • xapproachesinfinity
now lets rewrite the equation \[5x^2+47x+56=5x^2+40x+7x+56=(5x^2+40)+(7x+56)\]
xapproachesinfinity
  • xapproachesinfinity
now what you can see is 5x^2and 40x have 5x in common
xapproachesinfinity
  • xapproachesinfinity
error in parenthesis i should have (5x^2+40x) not (5x^2+40) forget x
xapproachesinfinity
  • xapproachesinfinity
and we can also see that 7x and 56 have 7 in common (common factor) so we can now do this \[=5x(x+8)+7(x+8)=(5x+7)(x+8)\]
xapproachesinfinity
  • xapproachesinfinity
so we got (5x+7)(x+8)
joshoyen
  • joshoyen
ohhhh , okay now i get it
joshoyen
  • joshoyen
alright thankyou!
xapproachesinfinity
  • xapproachesinfinity
you welcome
joshoyen
  • joshoyen
wait can we do one more equation?
joshoyen
  • joshoyen
7a^2 - a - 8 = 0

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