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Jadedry

  • one year ago

Solve the following equation:

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  1. Jadedry
    • one year ago
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    \[3^{2x+1} -26(3^x) - 9 = 0\] I have no idea where to start, could you please provide some hints? Thanks in advance!

  2. anonymous
    • one year ago
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    do u want answer in terms of x or want to simplify it?

  3. ganeshie8
    • one year ago
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    Let \(3^x = t\)

  4. anonymous
    • one year ago
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    as ganeshie said but before line up the variables so everything clear like this

  5. anonymous
    • one year ago
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    \[-9-26 \times 3^{x}+3^{2x+1}=0\]

  6. anonymous
    • one year ago
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    \[-9-26 \times 3^{x}+3(3^{x})^{2}\]

  7. anonymous
    • one year ago
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    \[3t ^{2}-26t-9=0\]

  8. anonymous
    • one year ago
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    then factorise it

  9. Jadedry
    • one year ago
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    @ayeshaafzal221 I believe I'm supposed to solve for X, I got the same equation you did, but my textbook says that the answer is 2?

  10. anonymous
    • one year ago
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    yes the answer is 2

  11. anonymous
    • one year ago
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    This is why math makes no sense... I read the equation, i caught on for the next part, then all that sht fell apart in my head

  12. anonymous
    • one year ago
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    \[(t-9)(3t+1)=0\]

  13. anonymous
    • one year ago
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    split this into two eq

  14. anonymous
    • one year ago
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    \[t-9=0 , 3y+1=0\]

  15. anonymous
    • one year ago
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    now from t-9=0 -> t=9

  16. anonymous
    • one year ago
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    sub back the t value

  17. anonymous
    • one year ago
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    \[3^{x}=9\]

  18. anonymous
    • one year ago
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    English plz xD (I dont needa know this stuff I'm just looking at wat u guys r doing)

  19. anonymous
    • one year ago
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    \[3^{2}=9\]

  20. anonymous
    • one year ago
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    \[3^{x}=3^{2}\]

  21. anonymous
    • one year ago
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    and for the other eq 3y-1=0 -> y=-1/3 has no solution

  22. anonymous
    • one year ago
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    so x=2

  23. Jadedry
    • one year ago
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    ah yes of course, I'm so stupid. X.X - I forgot to convert the "t" back to the 3x^2

  24. anonymous
    • one year ago
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    thats ok hope it helps :)

  25. Jadedry
    • one year ago
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    Thank's ayeshaa, I had some other problems with the same line of thought, I'll be able to solve them now. ;u;

  26. Jadedry
    • one year ago
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    Thank you! I'm closing the board now.

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