anonymous
  • anonymous
Please help me find the roots of following polynomial equation: e^2x-5(e^2x)+6 = 0
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
is that a typo? I dont think there is a '2' in the middle term..
anonymous
  • anonymous
Its not a typo.Its from our exam paper.
angela210793
  • angela210793
@amistre64...May you please,please,please see my problem? Please??????? :)

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amistre64
  • amistre64
then combine like terms ..... a = e^2x -4a+6 = 0 a = 6/4 = 3/2 e^2x = 3/2 2x = ln(3/2) x = ln(3/2)/2
amistre64
  • amistre64
if i can find it ;)
angela210793
  • angela210793
perhaps it is in my profile...try 2 click once there :)
anonymous
  • anonymous
I am not getting your solution. Can you please explain?
amistre64
  • amistre64
not getting as you dont follow it? or the answer is wrong?
anonymous
  • anonymous
I do not follow it.Its kinda tough.
anonymous
  • anonymous
pleasse come back later to my question, dont quite understand what you mean
amistre64
  • amistre64
e^2x can be substituted for becasue it doesnt change in the problem; its an unknown that we determine; so to clean up the equation, make it = a and use 'a' instead. a -5a +6 =0 -4a +6 = 0 -4a = -6 a = -6/-4 = 6/4 = 3/2
amistre64
  • amistre64
ok :)
amistre64
  • amistre64
since e^2x = a ; we told it to ... e^2x = 3/2 we solve for x by using logarithmic properties.. ln(e^2x) = ln(3/2) 2x = ln(3/2) x = ln(3/2) ------ 2
anonymous
  • anonymous
Its involved I guess.I would look into it.Thanks for your help.I appreciate it.
amistre64
  • amistre64
your welcome But I really think that this could have been a typo; which would make this part easier: a = e^x a^2 -5a +6 = 0 (a-6)(a+1) = 0 a = 6 and a = -1 e^x = a e^x = 6 ; x = ln(6) e^x = -1, which is impossible so disregard the -1 x = ln(6)

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