anonymous
  • anonymous
If a, b are the solutions of (((15)/(t+6))+((t+4)/(3)))=4 compute the sum of a+b plz show work and i would be very happy if someone were to help me/explain this problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
first let me see if i can read what is says
anonymous
  • anonymous
\[\frac{15}{t+6}+\frac{t+4}{3}=4\]??
anonymous
  • anonymous
yuppers

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anonymous
  • anonymous
the sum of a+b for tht equation
anonymous
  • anonymous
well i don't think there is a shortcut. i think you have to find the solutions and add them
anonymous
  • anonymous
or at least write the quadratic equation out
anonymous
  • anonymous
oh damn i made a mistake!
anonymous
  • anonymous
\[\frac{45+(t+4)(t+6)}{3(t+6)}=4\]
anonymous
  • anonymous
\[45+(t+4)(t+6)=12(t+6)\] \[t^2+10t+69=12t+72\] \[t^2-2t-3=0\] and finally \[(t-3)(t+1)=0\] solutions area 3 and -1
anonymous
  • anonymous
if you add them you get 2
anonymous
  • anonymous
it is also true that the sum of the solutions to \[ax^2+bx+c=0\] is \[-\frac{b}{a}\]so we did not actually have to solve once we got to \[x^2-2x-3=0\]
anonymous
  • anonymous
thank much man appreciate it hope some good karma comes back to u one day ^^

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